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Finding the Fourth Proportional to 75,022.90, 112,534.35 and 47,029.30

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Solution

The fourth proportional to 75,022.90, 112,534.35 and 47,029.30 is: 70,543.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,022.90 : 112,534.35 = 47,029.30 : x
  2. Step 2: Convert to fraction form
    75,022.90/112,534.35 = 47,029.30/x
  3. Step 3: Cross multiply
    75,022.90x = 112,534.35 × 47,029.30
  4. Step 4: Simplify right side
    75,022.90x = 5,292,411,706.46
  5. Step 5: Solve for x
    x = 5,292,411,706.46/75,022.90
  6. Step 6: Final answer
    x = 70,543.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.