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Finding the Fourth Proportional to 90,015.40, 135,023.10 and 85,641.40

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Solution

The fourth proportional to 90,015.40, 135,023.10 and 85,641.40 is: 128,462.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,015.40 : 135,023.10 = 85,641.40 : x
  2. Step 2: Convert to fraction form
    90,015.40/135,023.10 = 85,641.40/x
  3. Step 3: Cross multiply
    90,015.40x = 135,023.10 × 85,641.40
  4. Step 4: Simplify right side
    90,015.40x = 11,563,567,316.34
  5. Step 5: Solve for x
    x = 11,563,567,316.34/90,015.40
  6. Step 6: Final answer
    x = 128,462.10

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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.