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Finding the Fourth Proportional to 157,710.78, 236,151.45 and 120,800.70

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Solution

The fourth proportional to 157,710.78, 236,151.45 and 120,800.70 is: 180,883.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,710.78 : 236,151.45 = 120,800.70 : x
  2. Step 2: Convert to fraction form
    157,710.78/236,151.45 = 120,800.70/x
  3. Step 3: Cross multiply
    157,710.78x = 236,151.45 × 120,800.70
  4. Step 4: Simplify right side
    157,710.78x = 28,527,260,466.02
  5. Step 5: Solve for x
    x = 28,527,260,466.02/157,710.78
  6. Step 6: Final answer
    x = 180,883.39

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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.