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Finding the Fourth Proportional to 132,307, 182,612.40 and 81,363.53

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Solution

The fourth proportional to 132,307, 182,612.40 and 81,363.53 is: 112,299.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,307 : 182,612.40 = 81,363.53 : x
  2. Step 2: Convert to fraction form
    132,307/182,612.40 = 81,363.53/x
  3. Step 3: Cross multiply
    132,307x = 182,612.40 × 81,363.53
  4. Step 4: Simplify right side
    132,307x = 14,857,989,485.77
  5. Step 5: Solve for x
    x = 14,857,989,485.77/132,307
  6. Step 6: Final answer
    x = 112,299.35

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Why These Related Problems?

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