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Finding the Fourth Proportional to 65,079, 97,618.50 and 15,831

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Solution

The fourth proportional to 65,079, 97,618.50 and 15,831 is: 23,746.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,079 : 97,618.50 = 15,831 : x
  2. Step 2: Convert to fraction form
    65,079/97,618.50 = 15,831/x
  3. Step 3: Cross multiply
    65,079x = 97,618.50 × 15,831
  4. Step 4: Simplify right side
    65,079x = 1,545,398,473.50
  5. Step 5: Solve for x
    x = 1,545,398,473.50/65,079
  6. Step 6: Final answer
    x = 23,746.50

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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.