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Finding the Fourth Proportional to 77,486.20, 116,088.96 and 65,085.90

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Solution

The fourth proportional to 77,486.20, 116,088.96 and 65,085.90 is: 97,510.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,486.20 : 116,088.96 = 65,085.90 : x
  2. Step 2: Convert to fraction form
    77,486.20/116,088.96 = 65,085.90/x
  3. Step 3: Cross multiply
    77,486.20x = 116,088.96 × 65,085.90
  4. Step 4: Simplify right side
    77,486.20x = 7,555,754,441.66
  5. Step 5: Solve for x
    x = 7,555,754,441.66/77,486.20
  6. Step 6: Final answer
    x = 97,510.97

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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.