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Finding the Fourth Proportional to 96,165.90, 144,248.85 and 86,543.10

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Solution

The fourth proportional to 96,165.90, 144,248.85 and 86,543.10 is: 129,814.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,165.90 : 144,248.85 = 86,543.10 : x
  2. Step 2: Convert to fraction form
    96,165.90/144,248.85 = 86,543.10/x
  3. Step 3: Cross multiply
    96,165.90x = 144,248.85 × 86,543.10
  4. Step 4: Simplify right side
    96,165.90x = 12,483,742,650.44
  5. Step 5: Solve for x
    x = 12,483,742,650.44/96,165.90
  6. Step 6: Final answer
    x = 129,814.65

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1.5x scale

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.