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Finding the Fourth Proportional to 65,118, 97,677.48 and 15,870

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Solution

The fourth proportional to 65,118, 97,677.48 and 15,870 is: 23,805.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,118 : 97,677.48 = 15,870 : x
  2. Step 2: Convert to fraction form
    65,118/97,677.48 = 15,870/x
  3. Step 3: Cross multiply
    65,118x = 97,677.48 × 15,870
  4. Step 4: Simplify right side
    65,118x = 1,550,141,607.60
  5. Step 5: Solve for x
    x = 1,550,141,607.60/65,118
  6. Step 6: Final answer
    x = 23,805.12

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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.