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Finding the Fourth Proportional to 137,906.40, 206,830.56 and 63,005.28

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Solution

The fourth proportional to 137,906.40, 206,830.56 and 63,005.28 is: 94,494.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,906.40 : 206,830.56 = 63,005.28 : x
  2. Step 2: Convert to fraction form
    137,906.40/206,830.56 = 63,005.28/x
  3. Step 3: Cross multiply
    137,906.40x = 206,830.56 × 63,005.28
  4. Step 4: Simplify right side
    137,906.40x = 13,031,417,345.36
  5. Step 5: Solve for x
    x = 13,031,417,345.36/137,906.40
  6. Step 6: Final answer
    x = 94,494.65

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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.