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Finding the Fourth Proportional to 105,294.72, 157,884.23 and 51,869.14

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Solution

The fourth proportional to 105,294.72, 157,884.23 and 51,869.14 is: 77,775.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,294.72 : 157,884.23 = 51,869.14 : x
  2. Step 2: Convert to fraction form
    105,294.72/157,884.23 = 51,869.14/x
  3. Step 3: Cross multiply
    105,294.72x = 157,884.23 × 51,869.14
  4. Step 4: Simplify right side
    105,294.72x = 8,189,319,229.66
  5. Step 5: Solve for x
    x = 8,189,319,229.66/105,294.72
  6. Step 6: Final answer
    x = 77,775.21

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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.