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Finding the Fourth Proportional to 162,002.70, 242,894.70 and 86,113.80

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Solution

The fourth proportional to 162,002.70, 242,894.70 and 86,113.80 is: 129,112.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,002.70 : 242,894.70 = 86,113.80 : x
  2. Step 2: Convert to fraction form
    162,002.70/242,894.70 = 86,113.80/x
  3. Step 3: Cross multiply
    162,002.70x = 242,894.70 × 86,113.80
  4. Step 4: Simplify right side
    162,002.70x = 20,916,585,616.86
  5. Step 5: Solve for x
    x = 20,916,585,616.86/162,002.70
  6. Step 6: Final answer
    x = 129,112.57

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1.5x scale

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.