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Finding the Fourth Proportional to 75,287.60, 112,273.50 and 65,970.96

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Solution

The fourth proportional to 75,287.60, 112,273.50 and 65,970.96 is: 98,379.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,287.60 : 112,273.50 = 65,970.96 : x
  2. Step 2: Convert to fraction form
    75,287.60/112,273.50 = 65,970.96/x
  3. Step 3: Cross multiply
    75,287.60x = 112,273.50 × 65,970.96
  4. Step 4: Simplify right side
    75,287.60x = 7,406,790,577.56
  5. Step 5: Solve for x
    x = 7,406,790,577.56/75,287.60
  6. Step 6: Final answer
    x = 98,379.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.