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Finding the Fourth Proportional to 161,205.60, 242,002.80 and 90,184.80

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Solution

The fourth proportional to 161,205.60, 242,002.80 and 90,184.80 is: 135,385.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,205.60 : 242,002.80 = 90,184.80 : x
  2. Step 2: Convert to fraction form
    161,205.60/242,002.80 = 90,184.80/x
  3. Step 3: Cross multiply
    161,205.60x = 242,002.80 × 90,184.80
  4. Step 4: Simplify right side
    161,205.60x = 21,824,974,117.44
  5. Step 5: Solve for x
    x = 21,824,974,117.44/161,205.60
  6. Step 6: Final answer
    x = 135,385.96

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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.