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Finding the Fourth Proportional to 65,125.91, 97,695.95 and 20,742.32

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Solution

The fourth proportional to 65,125.91, 97,695.95 and 20,742.32 is: 31,115.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,125.91 : 97,695.95 = 20,742.32 : x
  2. Step 2: Convert to fraction form
    65,125.91/97,695.95 = 20,742.32/x
  3. Step 3: Cross multiply
    65,125.91x = 97,695.95 × 20,742.32
  4. Step 4: Simplify right side
    65,125.91x = 2,026,440,657.60
  5. Step 5: Solve for x
    x = 2,026,440,657.60/65,125.91
  6. Step 6: Final answer
    x = 31,115.74

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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.