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Finding the Fourth Proportional to 70,142, 96,795.96 and 40,334

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Solution

The fourth proportional to 70,142, 96,795.96 and 40,334 is: 55,660.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,142 : 96,795.96 = 40,334 : x
  2. Step 2: Convert to fraction form
    70,142/96,795.96 = 40,334/x
  3. Step 3: Cross multiply
    70,142x = 96,795.96 × 40,334
  4. Step 4: Simplify right side
    70,142x = 3,904,168,250.64
  5. Step 5: Solve for x
    x = 3,904,168,250.64/70,142
  6. Step 6: Final answer
    x = 55,660.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.