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Finding the Fourth Proportional to 65,695.74, 98,543.58 and 21,322.50

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Solution

The fourth proportional to 65,695.74, 98,543.58 and 21,322.50 is: 31,983.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,695.74 : 98,543.58 = 21,322.50 : x
  2. Step 2: Convert to fraction form
    65,695.74/98,543.58 = 21,322.50/x
  3. Step 3: Cross multiply
    65,695.74x = 98,543.58 × 21,322.50
  4. Step 4: Simplify right side
    65,695.74x = 2,101,195,484.55
  5. Step 5: Solve for x
    x = 2,101,195,484.55/65,695.74
  6. Step 6: Final answer
    x = 31,983.74

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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.