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Finding the Fourth Proportional to 98,470.80, 147,758.40 and 56,946.96

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Solution

The fourth proportional to 98,470.80, 147,758.40 and 56,946.96 is: 85,450.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,470.80 : 147,758.40 = 56,946.96 : x
  2. Step 2: Convert to fraction form
    98,470.80/147,758.40 = 56,946.96/x
  3. Step 3: Cross multiply
    98,470.80x = 147,758.40 × 56,946.96
  4. Step 4: Simplify right side
    98,470.80x = 8,414,391,694.46
  5. Step 5: Solve for x
    x = 8,414,391,694.46/98,470.80
  6. Step 6: Final answer
    x = 85,450.63

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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.