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Finding the Fourth Proportional to 65,642.68, 90,396.29 and 57,024.93

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Solution

The fourth proportional to 65,642.68, 90,396.29 and 57,024.93 is: 78,528.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,642.68 : 90,396.29 = 57,024.93 : x
  2. Step 2: Convert to fraction form
    65,642.68/90,396.29 = 57,024.93/x
  3. Step 3: Cross multiply
    65,642.68x = 90,396.29 × 57,024.93
  4. Step 4: Simplify right side
    65,642.68x = 5,154,842,270.29
  5. Step 5: Solve for x
    x = 5,154,842,270.29/65,642.68
  6. Step 6: Final answer
    x = 78,528.83

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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.