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Finding the Fourth Proportional to 83,206.40, 124,564.80 and 51,946.88

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Solution

The fourth proportional to 83,206.40, 124,564.80 and 51,946.88 is: 77,767.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,206.40 : 124,564.80 = 51,946.88 : x
  2. Step 2: Convert to fraction form
    83,206.40/124,564.80 = 51,946.88/x
  3. Step 3: Cross multiply
    83,206.40x = 124,564.80 × 51,946.88
  4. Step 4: Simplify right side
    83,206.40x = 6,470,752,717.82
  5. Step 5: Solve for x
    x = 6,470,752,717.82/83,206.40
  6. Step 6: Final answer
    x = 77,767.49

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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.