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Finding the Fourth Proportional to 157,369.78, 235,882.92 and 77,462.74

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Solution

The fourth proportional to 157,369.78, 235,882.92 and 77,462.74 is: 116,109.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,369.78 : 235,882.92 = 77,462.74 : x
  2. Step 2: Convert to fraction form
    157,369.78/235,882.92 = 77,462.74/x
  3. Step 3: Cross multiply
    157,369.78x = 235,882.92 × 77,462.74
  4. Step 4: Simplify right side
    157,369.78x = 18,272,137,302.40
  5. Step 5: Solve for x
    x = 18,272,137,302.40/157,369.78
  6. Step 6: Final answer
    x = 116,109.57

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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.