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Finding the Fourth Proportional to 162,408.72, 224,129.13 and 90,788.40

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Solution

The fourth proportional to 162,408.72, 224,129.13 and 90,788.40 is: 125,290.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,408.72 : 224,129.13 = 90,788.40 : x
  2. Step 2: Convert to fraction form
    162,408.72/224,129.13 = 90,788.40/x
  3. Step 3: Cross multiply
    162,408.72x = 224,129.13 × 90,788.40
  4. Step 4: Simplify right side
    162,408.72x = 20,348,325,106.09
  5. Step 5: Solve for x
    x = 20,348,325,106.09/162,408.72
  6. Step 6: Final answer
    x = 125,290.84

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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.