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Finding the Fourth Proportional to 98,172, 147,254.76 and 31,615.92

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Solution

The fourth proportional to 98,172, 147,254.76 and 31,615.92 is: 47,422.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,172 : 147,254.76 = 31,615.92 : x
  2. Step 2: Convert to fraction form
    98,172/147,254.76 = 31,615.92/x
  3. Step 3: Cross multiply
    98,172x = 147,254.76 × 31,615.92
  4. Step 4: Simplify right side
    98,172x = 4,655,594,711.78
  5. Step 5: Solve for x
    x = 4,655,594,711.78/98,172
  6. Step 6: Final answer
    x = 47,422.84

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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.