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Finding the Fourth Proportional to 104,913.90, 156,986.85 and 77,265.90

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Solution

The fourth proportional to 104,913.90, 156,986.85 and 77,265.90 is: 115,616.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,913.90 : 156,986.85 = 77,265.90 : x
  2. Step 2: Convert to fraction form
    104,913.90/156,986.85 = 77,265.90/x
  3. Step 3: Cross multiply
    104,913.90x = 156,986.85 × 77,265.90
  4. Step 4: Simplify right side
    104,913.90x = 12,129,730,253.42
  5. Step 5: Solve for x
    x = 12,129,730,253.42/104,913.90
  6. Step 6: Final answer
    x = 115,616.05

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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.