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Finding the Fourth Proportional to 137,642,978.28, 206,458,867.80 and 34,009,573.71

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Solution

The fourth proportional to 137,642,978.28, 206,458,867.80 and 34,009,573.71 is: 51,012,976.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,642,978.28 : 206,458,867.80 = 34,009,573.71 : x
  2. Step 2: Convert to fraction form
    137,642,978.28/206,458,867.80 = 34,009,573.71/x
  3. Step 3: Cross multiply
    137,642,978.28x = 206,458,867.80 × 34,009,573.71
  4. Step 4: Simplify right side
    137,642,978.28x = 7,021,578,082,527,246
  5. Step 5: Solve for x
    x = 7,021,578,082,527,246/137,642,978.28
  6. Step 6: Final answer
    x = 51,012,976.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.