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Finding the Fourth Proportional to 65,118.16, 97,671.84 and 20,743.12

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Solution

The fourth proportional to 65,118.16, 97,671.84 and 20,743.12 is: 31,112.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,118.16 : 97,671.84 = 20,743.12 : x
  2. Step 2: Convert to fraction form
    65,118.16/97,671.84 = 20,743.12/x
  3. Step 3: Cross multiply
    65,118.16x = 97,671.84 × 20,743.12
  4. Step 4: Simplify right side
    65,118.16x = 2,026,018,697.74
  5. Step 5: Solve for x
    x = 2,026,018,697.74/65,118.16
  6. Step 6: Final answer
    x = 31,112.96

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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.