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Finding the Fourth Proportional to 162,024.20, 242,744.70 and 138,696.20

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Solution

The fourth proportional to 162,024.20, 242,744.70 and 138,696.20 is: 207,794.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,024.20 : 242,744.70 = 138,696.20 : x
  2. Step 2: Convert to fraction form
    162,024.20/242,744.70 = 138,696.20/x
  3. Step 3: Cross multiply
    162,024.20x = 242,744.70 × 138,696.20
  4. Step 4: Simplify right side
    162,024.20x = 33,667,767,460.14
  5. Step 5: Solve for x
    x = 33,667,767,460.14/162,024.20
  6. Step 6: Final answer
    x = 207,794.68

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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.