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Finding the Fourth Proportional to 71,146.57, 98,188.10 and 39,316

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Solution

The fourth proportional to 71,146.57, 98,188.10 and 39,316 is: 54,259.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,146.57 : 98,188.10 = 39,316 : x
  2. Step 2: Convert to fraction form
    71,146.57/98,188.10 = 39,316/x
  3. Step 3: Cross multiply
    71,146.57x = 98,188.10 × 39,316
  4. Step 4: Simplify right side
    71,146.57x = 3,860,363,339.60
  5. Step 5: Solve for x
    x = 3,860,363,339.60/71,146.57
  6. Step 6: Final answer
    x = 54,259.30

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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.