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Finding the Fourth Proportional to 157,402.42, 235,931.82 and 77,495.38

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Solution

The fourth proportional to 157,402.42, 235,931.82 and 77,495.38 is: 116,158.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,402.42 : 235,931.82 = 77,495.38 : x
  2. Step 2: Convert to fraction form
    157,402.42/235,931.82 = 77,495.38/x
  3. Step 3: Cross multiply
    157,402.42x = 235,931.82 × 77,495.38
  4. Step 4: Simplify right side
    157,402.42x = 18,283,626,044.99
  5. Step 5: Solve for x
    x = 18,283,626,044.99/157,402.42
  6. Step 6: Final answer
    x = 116,158.48

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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.