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Finding the Fourth Proportional to 98,675.76, 148,031.90 and 31,224.78

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Solution

The fourth proportional to 98,675.76, 148,031.90 and 31,224.78 is: 46,842.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,675.76 : 148,031.90 = 31,224.78 : x
  2. Step 2: Convert to fraction form
    98,675.76/148,031.90 = 31,224.78/x
  3. Step 3: Cross multiply
    98,675.76x = 148,031.90 × 31,224.78
  4. Step 4: Simplify right side
    98,675.76x = 4,622,263,510.48
  5. Step 5: Solve for x
    x = 4,622,263,510.48/98,675.76
  6. Step 6: Final answer
    x = 46,842.95

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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.