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Finding the Fourth Proportional to 132,705, 183,132.90 and 73,089

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Solution

The fourth proportional to 132,705, 183,132.90 and 73,089 is: 100,862.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,705 : 183,132.90 = 73,089 : x
  2. Step 2: Convert to fraction form
    132,705/183,132.90 = 73,089/x
  3. Step 3: Cross multiply
    132,705x = 183,132.90 × 73,089
  4. Step 4: Simplify right side
    132,705x = 13,385,000,528.10
  5. Step 5: Solve for x
    x = 13,385,000,528.10/132,705
  6. Step 6: Final answer
    x = 100,862.82

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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.