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Finding the Fourth Proportional to 65,116.41, 97,609.95 and 36,978.22

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Solution

The fourth proportional to 65,116.41, 97,609.95 and 36,978.22 is: 55,430.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,116.41 : 97,609.95 = 36,978.22 : x
  2. Step 2: Convert to fraction form
    65,116.41/97,609.95 = 36,978.22/x
  3. Step 3: Cross multiply
    65,116.41x = 97,609.95 × 36,978.22
  4. Step 4: Simplify right side
    65,116.41x = 3,609,442,205.29
  5. Step 5: Solve for x
    x = 3,609,442,205.29/65,116.41
  6. Step 6: Final answer
    x = 55,430.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.