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Finding the Fourth Proportional to 65,701.62, 90,657.80 and 37,407.86

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Solution

The fourth proportional to 65,701.62, 90,657.80 and 37,407.86 is: 51,616.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,701.62 : 90,657.80 = 37,407.86 : x
  2. Step 2: Convert to fraction form
    65,701.62/90,657.80 = 37,407.86/x
  3. Step 3: Cross multiply
    65,701.62x = 90,657.80 × 37,407.86
  4. Step 4: Simplify right side
    65,701.62x = 3,391,314,290.31
  5. Step 5: Solve for x
    x = 3,391,314,290.31/65,701.62
  6. Step 6: Final answer
    x = 51,616.91

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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.