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Finding the Fourth Proportional to 103,154.90, 142,354.12 and 64,939.73

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Solution

The fourth proportional to 103,154.90, 142,354.12 and 64,939.73 is: 89,617.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,154.90 : 142,354.12 = 64,939.73 : x
  2. Step 2: Convert to fraction form
    103,154.90/142,354.12 = 64,939.73/x
  3. Step 3: Cross multiply
    103,154.90x = 142,354.12 × 64,939.73
  4. Step 4: Simplify right side
    103,154.90x = 9,244,437,243.07
  5. Step 5: Solve for x
    x = 9,244,437,243.07/103,154.90
  6. Step 6: Final answer
    x = 89,617.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.