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Finding the Fourth Proportional to 96,458.80, 144,688.20 and 86,641.60

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Solution

The fourth proportional to 96,458.80, 144,688.20 and 86,641.60 is: 129,962.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,458.80 : 144,688.20 = 86,641.60 : x
  2. Step 2: Convert to fraction form
    96,458.80/144,688.20 = 86,641.60/x
  3. Step 3: Cross multiply
    96,458.80x = 144,688.20 × 86,641.60
  4. Step 4: Simplify right side
    96,458.80x = 12,536,017,149.12
  5. Step 5: Solve for x
    x = 12,536,017,149.12/96,458.80
  6. Step 6: Final answer
    x = 129,962.40

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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.