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Finding the Fourth Proportional to 157,099.90, 235,390.65 and 133,771.90

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Solution

The fourth proportional to 157,099.90, 235,390.65 and 133,771.90 is: 200,437.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,099.90 : 235,390.65 = 133,771.90 : x
  2. Step 2: Convert to fraction form
    157,099.90/235,390.65 = 133,771.90/x
  3. Step 3: Cross multiply
    157,099.90x = 235,390.65 × 133,771.90
  4. Step 4: Simplify right side
    157,099.90x = 31,488,654,492.74
  5. Step 5: Solve for x
    x = 31,488,654,492.74/157,099.90
  6. Step 6: Final answer
    x = 200,437.14

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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.