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Finding the Fourth Proportional to 98,281.80, 147,422.70 and 31,724.10

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Solution

The fourth proportional to 98,281.80, 147,422.70 and 31,724.10 is: 47,586.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,281.80 : 147,422.70 = 31,724.10 : x
  2. Step 2: Convert to fraction form
    98,281.80/147,422.70 = 31,724.10/x
  3. Step 3: Cross multiply
    98,281.80x = 147,422.70 × 31,724.10
  4. Step 4: Simplify right side
    98,281.80x = 4,676,852,477.07
  5. Step 5: Solve for x
    x = 4,676,852,477.07/98,281.80
  6. Step 6: Final answer
    x = 47,586.15

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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.