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Finding the Fourth Proportional to 65,726.84, 90,719.16 and 37,449.20

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Solution

The fourth proportional to 65,726.84, 90,719.16 and 37,449.20 is: 51,689.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,726.84 : 90,719.16 = 37,449.20 : x
  2. Step 2: Convert to fraction form
    65,726.84/90,719.16 = 37,449.20/x
  3. Step 3: Cross multiply
    65,726.84x = 90,719.16 × 37,449.20
  4. Step 4: Simplify right side
    65,726.84x = 3,397,359,966.67
  5. Step 5: Solve for x
    x = 3,397,359,966.67/65,726.84
  6. Step 6: Final answer
    x = 51,689.08

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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.