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Finding the Fourth Proportional to 145,321.80, 200,549.16 and 81,658.32

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Solution

The fourth proportional to 145,321.80, 200,549.16 and 81,658.32 is: 112,691.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,321.80 : 200,549.16 = 81,658.32 : x
  2. Step 2: Convert to fraction form
    145,321.80/200,549.16 = 81,658.32/x
  3. Step 3: Cross multiply
    145,321.80x = 200,549.16 × 81,658.32
  4. Step 4: Simplify right side
    145,321.80x = 16,376,507,483.01
  5. Step 5: Solve for x
    x = 16,376,507,483.01/145,321.80
  6. Step 6: Final answer
    x = 112,691.33

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1.5x scale

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.