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Finding the Fourth Proportional to 132,438.04, 198,569.38 and 52,423

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Solution

The fourth proportional to 132,438.04, 198,569.38 and 52,423 is: 78,599.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,438.04 : 198,569.38 = 52,423 : x
  2. Step 2: Convert to fraction form
    132,438.04/198,569.38 = 52,423/x
  3. Step 3: Cross multiply
    132,438.04x = 198,569.38 × 52,423
  4. Step 4: Simplify right side
    132,438.04x = 10,409,602,607.74
  5. Step 5: Solve for x
    x = 10,409,602,607.74/132,438.04
  6. Step 6: Final answer
    x = 78,599.79

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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.