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Finding the Fourth Proportional to 76,218.70, 114,328.05 and 65,721.10

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Solution

The fourth proportional to 76,218.70, 114,328.05 and 65,721.10 is: 98,581.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,218.70 : 114,328.05 = 65,721.10 : x
  2. Step 2: Convert to fraction form
    76,218.70/114,328.05 = 65,721.10/x
  3. Step 3: Cross multiply
    76,218.70x = 114,328.05 × 65,721.10
  4. Step 4: Simplify right side
    76,218.70x = 7,513,765,206.86
  5. Step 5: Solve for x
    x = 7,513,765,206.86/76,218.70
  6. Step 6: Final answer
    x = 98,581.65

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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.