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Finding the Fourth Proportional to 286,250.42, 429,572.43 and 99,261.92

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Solution

The fourth proportional to 286,250.42, 429,572.43 and 99,261.92 is: 148,961.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,250.42 : 429,572.43 = 99,261.92 : x
  2. Step 2: Convert to fraction form
    286,250.42/429,572.43 = 99,261.92/x
  3. Step 3: Cross multiply
    286,250.42x = 429,572.43 × 99,261.92
  4. Step 4: Simplify right side
    286,250.42x = 42,640,182,033.00
  5. Step 5: Solve for x
    x = 42,640,182,033.00/286,250.42
  6. Step 6: Final answer
    x = 148,961.12

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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.