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Finding the Fourth Proportional to 83,276, 124,904.82 and 20,946.50

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Solution

The fourth proportional to 83,276, 124,904.82 and 20,946.50 is: 31,417.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,276 : 124,904.82 = 20,946.50 : x
  2. Step 2: Convert to fraction form
    83,276/124,904.82 = 20,946.50/x
  3. Step 3: Cross multiply
    83,276x = 124,904.82 × 20,946.50
  4. Step 4: Simplify right side
    83,276x = 2,616,318,812.13
  5. Step 5: Solve for x
    x = 2,616,318,812.13/83,276
  6. Step 6: Final answer
    x = 31,417.44

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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.