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Finding the Fourth Proportional to 137,178.89, 205,773.80 and 42,400.63

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Solution

The fourth proportional to 137,178.89, 205,773.80 and 42,400.63 is: 63,602.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,178.89 : 205,773.80 = 42,400.63 : x
  2. Step 2: Convert to fraction form
    137,178.89/205,773.80 = 42,400.63/x
  3. Step 3: Cross multiply
    137,178.89x = 205,773.80 × 42,400.63
  4. Step 4: Simplify right side
    137,178.89x = 8,724,939,654.14
  5. Step 5: Solve for x
    x = 8,724,939,654.14/137,178.89
  6. Step 6: Final answer
    x = 63,602.64

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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.