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Finding the Fourth Proportional to 75,328.76, 112,814.94 and 65,414.18

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Solution

The fourth proportional to 75,328.76, 112,814.94 and 65,414.18 is: 97,966.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,328.76 : 112,814.94 = 65,414.18 : x
  2. Step 2: Convert to fraction form
    75,328.76/112,814.94 = 65,414.18/x
  3. Step 3: Cross multiply
    75,328.76x = 112,814.94 × 65,414.18
  4. Step 4: Simplify right side
    75,328.76x = 7,379,696,791.85
  5. Step 5: Solve for x
    x = 7,379,696,791.85/75,328.76
  6. Step 6: Final answer
    x = 97,966.52

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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.