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Finding the Fourth Proportional to 255,397.39, 383,138.10 and 77,862.87

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Solution

The fourth proportional to 255,397.39, 383,138.10 and 77,862.87 is: 116,807.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,397.39 : 383,138.10 = 77,862.87 : x
  2. Step 2: Convert to fraction form
    255,397.39/383,138.10 = 77,862.87/x
  3. Step 3: Cross multiply
    255,397.39x = 383,138.10 × 77,862.87
  4. Step 4: Simplify right side
    255,397.39x = 29,832,232,072.35
  5. Step 5: Solve for x
    x = 29,832,232,072.35/255,397.39
  6. Step 6: Final answer
    x = 116,807.12

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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.