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Finding the Fourth Proportional to 91,806.90, 137,710.35 and 83,642.10

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Solution

The fourth proportional to 91,806.90, 137,710.35 and 83,642.10 is: 125,463.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,806.90 : 137,710.35 = 83,642.10 : x
  2. Step 2: Convert to fraction form
    91,806.90/137,710.35 = 83,642.10/x
  3. Step 3: Cross multiply
    91,806.90x = 137,710.35 × 83,642.10
  4. Step 4: Simplify right side
    91,806.90x = 11,518,382,865.74
  5. Step 5: Solve for x
    x = 11,518,382,865.74/91,806.90
  6. Step 6: Final answer
    x = 125,463.15

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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.