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Finding the Fourth Proportional to 78,498, 117,730.50 and 25,895.16

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Solution

The fourth proportional to 78,498, 117,730.50 and 25,895.16 is: 38,837.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,498 : 117,730.50 = 25,895.16 : x
  2. Step 2: Convert to fraction form
    78,498/117,730.50 = 25,895.16/x
  3. Step 3: Cross multiply
    78,498x = 117,730.50 × 25,895.16
  4. Step 4: Simplify right side
    78,498x = 3,048,650,134.38
  5. Step 5: Solve for x
    x = 3,048,650,134.38/78,498
  6. Step 6: Final answer
    x = 38,837.30

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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.