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Finding the Fourth Proportional to 114,414, 157,891.32 and 64,129.20

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Solution

The fourth proportional to 114,414, 157,891.32 and 64,129.20 is: 88,498.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,414 : 157,891.32 = 64,129.20 : x
  2. Step 2: Convert to fraction form
    114,414/157,891.32 = 64,129.20/x
  3. Step 3: Cross multiply
    114,414x = 157,891.32 × 64,129.20
  4. Step 4: Simplify right side
    114,414x = 10,125,444,038.54
  5. Step 5: Solve for x
    x = 10,125,444,038.54/114,414
  6. Step 6: Final answer
    x = 88,498.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.