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Finding the Fourth Proportional to 83,871, 125,806.50 and 21,541.50

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Solution

The fourth proportional to 83,871, 125,806.50 and 21,541.50 is: 32,312.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,871 : 125,806.50 = 21,541.50 : x
  2. Step 2: Convert to fraction form
    83,871/125,806.50 = 21,541.50/x
  3. Step 3: Cross multiply
    83,871x = 125,806.50 × 21,541.50
  4. Step 4: Simplify right side
    83,871x = 2,710,060,719.75
  5. Step 5: Solve for x
    x = 2,710,060,719.75/83,871
  6. Step 6: Final answer
    x = 32,312.25

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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.