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Finding the Fourth Proportional to 162,550, 224,323.50 and 90,942.40

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Solution

The fourth proportional to 162,550, 224,323.50 and 90,942.40 is: 125,503.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,550 : 224,323.50 = 90,942.40 : x
  2. Step 2: Convert to fraction form
    162,550/224,323.50 = 90,942.40/x
  3. Step 3: Cross multiply
    162,550x = 224,323.50 × 90,942.40
  4. Step 4: Simplify right side
    162,550x = 20,400,517,466.40
  5. Step 5: Solve for x
    x = 20,400,517,466.40/162,550
  6. Step 6: Final answer
    x = 125,503.03

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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.