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Finding the Fourth Proportional to 70,820.50, 106,230.76 and 21,572.50

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Solution

The fourth proportional to 70,820.50, 106,230.76 and 21,572.50 is: 32,358.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,820.50 : 106,230.76 = 21,572.50 : x
  2. Step 2: Convert to fraction form
    70,820.50/106,230.76 = 21,572.50/x
  3. Step 3: Cross multiply
    70,820.50x = 106,230.76 × 21,572.50
  4. Step 4: Simplify right side
    70,820.50x = 2,291,663,070.10
  5. Step 5: Solve for x
    x = 2,291,663,070.10/70,820.50
  6. Step 6: Final answer
    x = 32,358.75

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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.