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Finding the Fourth Proportional to 162,395.69, 224,102.09 and 90,784.13

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Solution

The fourth proportional to 162,395.69, 224,102.09 and 90,784.13 is: 125,279.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,395.69 : 224,102.09 = 90,784.13 : x
  2. Step 2: Convert to fraction form
    162,395.69/224,102.09 = 90,784.13/x
  3. Step 3: Cross multiply
    162,395.69x = 224,102.09 × 90,784.13
  4. Step 4: Simplify right side
    162,395.69x = 20,344,912,378.28
  5. Step 5: Solve for x
    x = 20,344,912,378.28/162,395.69
  6. Step 6: Final answer
    x = 125,279.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.