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Finding the Fourth Proportional to 140,798.96, 194,294.40 and 77,125.68

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Solution

The fourth proportional to 140,798.96, 194,294.40 and 77,125.68 is: 106,428.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,798.96 : 194,294.40 = 77,125.68 : x
  2. Step 2: Convert to fraction form
    140,798.96/194,294.40 = 77,125.68/x
  3. Step 3: Cross multiply
    140,798.96x = 194,294.40 × 77,125.68
  4. Step 4: Simplify right side
    140,798.96x = 14,985,087,720.19
  5. Step 5: Solve for x
    x = 14,985,087,720.19/140,798.96
  6. Step 6: Final answer
    x = 106,428.97

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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.