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Finding the Fourth Proportional to 85,580.25, 128,373.30 and 29,419.88

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Solution

The fourth proportional to 85,580.25, 128,373.30 and 29,419.88 is: 44,130.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,580.25 : 128,373.30 = 29,419.88 : x
  2. Step 2: Convert to fraction form
    85,580.25/128,373.30 = 29,419.88/x
  3. Step 3: Cross multiply
    85,580.25x = 128,373.30 × 29,419.88
  4. Step 4: Simplify right side
    85,580.25x = 3,776,726,356.59
  5. Step 5: Solve for x
    x = 3,776,726,356.59/85,580.25
  6. Step 6: Final answer
    x = 44,130.82

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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.