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Finding the Fourth Proportional to 81,875.71, 122,774.64 and 28,561.21

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Solution

The fourth proportional to 81,875.71, 122,774.64 and 28,561.21 is: 42,828.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,875.71 : 122,774.64 = 28,561.21 : x
  2. Step 2: Convert to fraction form
    81,875.71/122,774.64 = 28,561.21/x
  3. Step 3: Cross multiply
    81,875.71x = 122,774.64 × 28,561.21
  4. Step 4: Simplify right side
    81,875.71x = 3,506,591,861.67
  5. Step 5: Solve for x
    x = 3,506,591,861.67/81,875.71
  6. Step 6: Final answer
    x = 42,828.23

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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.