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Finding the Fourth Proportional to 65,062.81, 89,781.69 and 39,565.66

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Solution

The fourth proportional to 65,062.81, 89,781.69 and 39,565.66 is: 54,597.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,062.81 : 89,781.69 = 39,565.66 : x
  2. Step 2: Convert to fraction form
    65,062.81/89,781.69 = 39,565.66/x
  3. Step 3: Cross multiply
    65,062.81x = 89,781.69 × 39,565.66
  4. Step 4: Simplify right side
    65,062.81x = 3,552,271,820.77
  5. Step 5: Solve for x
    x = 3,552,271,820.77/65,062.81
  6. Step 6: Final answer
    x = 54,597.58

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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.