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Finding the Fourth Proportional to 83,083.40, 124,665.76 and 51,485

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Solution

The fourth proportional to 83,083.40, 124,665.76 and 51,485 is: 77,252.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,083.40 : 124,665.76 = 51,485 : x
  2. Step 2: Convert to fraction form
    83,083.40/124,665.76 = 51,485/x
  3. Step 3: Cross multiply
    83,083.40x = 124,665.76 × 51,485
  4. Step 4: Simplify right side
    83,083.40x = 6,418,416,653.60
  5. Step 5: Solve for x
    x = 6,418,416,653.60/83,083.40
  6. Step 6: Final answer
    x = 77,252.70

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1.5x scale

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.