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Finding the Fourth Proportional to 98,247.80, 147,335.70 and 31,705.40

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Solution

The fourth proportional to 98,247.80, 147,335.70 and 31,705.40 is: 47,546.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,247.80 : 147,335.70 = 31,705.40 : x
  2. Step 2: Convert to fraction form
    98,247.80/147,335.70 = 31,705.40/x
  3. Step 3: Cross multiply
    98,247.80x = 147,335.70 × 31,705.40
  4. Step 4: Simplify right side
    98,247.80x = 4,671,337,302.78
  5. Step 5: Solve for x
    x = 4,671,337,302.78/98,247.80
  6. Step 6: Final answer
    x = 47,546.48

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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.