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Finding the Fourth Proportional to 157,363, 235,872.78 and 77,455.96

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Solution

The fourth proportional to 157,363, 235,872.78 and 77,455.96 is: 116,099.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,363 : 235,872.78 = 77,455.96 : x
  2. Step 2: Convert to fraction form
    157,363/235,872.78 = 77,455.96/x
  3. Step 3: Cross multiply
    157,363x = 235,872.78 × 77,455.96
  4. Step 4: Simplify right side
    157,363x = 18,269,752,612.77
  5. Step 5: Solve for x
    x = 18,269,752,612.77/157,363
  6. Step 6: Final answer
    x = 116,099.42

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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.