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Finding the Fourth Proportional to 105,817.80, 158,726.70 and 98,819.40

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Solution

The fourth proportional to 105,817.80, 158,726.70 and 98,819.40 is: 148,229.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,817.80 : 158,726.70 = 98,819.40 : x
  2. Step 2: Convert to fraction form
    105,817.80/158,726.70 = 98,819.40/x
  3. Step 3: Cross multiply
    105,817.80x = 158,726.70 × 98,819.40
  4. Step 4: Simplify right side
    105,817.80x = 15,685,277,257.98
  5. Step 5: Solve for x
    x = 15,685,277,257.98/105,817.80
  6. Step 6: Final answer
    x = 148,229.10

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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.