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Finding the Fourth Proportional to 75,870, 104,350.68 and 66,422.16

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Solution

The fourth proportional to 75,870, 104,350.68 and 66,422.16 is: 91,356.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,870 : 104,350.68 = 66,422.16 : x
  2. Step 2: Convert to fraction form
    75,870/104,350.68 = 66,422.16/x
  3. Step 3: Cross multiply
    75,870x = 104,350.68 × 66,422.16
  4. Step 4: Simplify right side
    75,870x = 6,931,197,563.07
  5. Step 5: Solve for x
    x = 6,931,197,563.07/75,870
  6. Step 6: Final answer
    x = 91,356.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.