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Finding the Fourth Proportional to 147,415.72, 203,432 and 83,752.14

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Solution

The fourth proportional to 147,415.72, 203,432 and 83,752.14 is: 115,576.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,415.72 : 203,432 = 83,752.14 : x
  2. Step 2: Convert to fraction form
    147,415.72/203,432 = 83,752.14/x
  3. Step 3: Cross multiply
    147,415.72x = 203,432 × 83,752.14
  4. Step 4: Simplify right side
    147,415.72x = 17,037,865,344.48
  5. Step 5: Solve for x
    x = 17,037,865,344.48/147,415.72
  6. Step 6: Final answer
    x = 115,576.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.