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Finding the Fourth Proportional to 129,410.78, 194,116.16 and 59,290.08

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Solution

The fourth proportional to 129,410.78, 194,116.16 and 59,290.08 is: 88,935.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,410.78 : 194,116.16 = 59,290.08 : x
  2. Step 2: Convert to fraction form
    129,410.78/194,116.16 = 59,290.08/x
  3. Step 3: Cross multiply
    129,410.78x = 194,116.16 × 59,290.08
  4. Step 4: Simplify right side
    129,410.78x = 11,509,162,655.69
  5. Step 5: Solve for x
    x = 11,509,162,655.69/129,410.78
  6. Step 6: Final answer
    x = 88,935.12

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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.