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Finding the Fourth Proportional to 83,876.50, 125,814.75 and 21,547

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Solution

The fourth proportional to 83,876.50, 125,814.75 and 21,547 is: 32,320.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,876.50 : 125,814.75 = 21,547 : x
  2. Step 2: Convert to fraction form
    83,876.50/125,814.75 = 21,547/x
  3. Step 3: Cross multiply
    83,876.50x = 125,814.75 × 21,547
  4. Step 4: Simplify right side
    83,876.50x = 2,710,930,418.25
  5. Step 5: Solve for x
    x = 2,710,930,418.25/83,876.50
  6. Step 6: Final answer
    x = 32,320.50

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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.