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Finding the Fourth Proportional to 83,210.20, 124,661.70 and 77,680.60

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Solution

The fourth proportional to 83,210.20, 124,661.70 and 77,680.60 is: 116,377.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,210.20 : 124,661.70 = 77,680.60 : x
  2. Step 2: Convert to fraction form
    83,210.20/124,661.70 = 77,680.60/x
  3. Step 3: Cross multiply
    83,210.20x = 124,661.70 × 77,680.60
  4. Step 4: Simplify right side
    83,210.20x = 9,683,795,653.02
  5. Step 5: Solve for x
    x = 9,683,795,653.02/83,210.20
  6. Step 6: Final answer
    x = 116,377.51

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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.