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Finding the Fourth Proportional to 83,357.79, 125,307.63 and 66,898.18

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Solution

The fourth proportional to 83,357.79, 125,307.63 and 66,898.18 is: 100,564.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,357.79 : 125,307.63 = 66,898.18 : x
  2. Step 2: Convert to fraction form
    83,357.79/125,307.63 = 66,898.18/x
  3. Step 3: Cross multiply
    83,357.79x = 125,307.63 × 66,898.18
  4. Step 4: Simplify right side
    83,357.79x = 8,382,852,387.11
  5. Step 5: Solve for x
    x = 8,382,852,387.11/83,357.79
  6. Step 6: Final answer
    x = 100,564.71

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Why These Related Problems?

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