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Finding the Fourth Proportional to 90,482.70, 135,793.32 and 65,170.05

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Solution

The fourth proportional to 90,482.70, 135,793.32 and 65,170.05 is: 97,804.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,482.70 : 135,793.32 = 65,170.05 : x
  2. Step 2: Convert to fraction form
    90,482.70/135,793.32 = 65,170.05/x
  3. Step 3: Cross multiply
    90,482.70x = 135,793.32 × 65,170.05
  4. Step 4: Simplify right side
    90,482.70x = 8,849,657,454.07
  5. Step 5: Solve for x
    x = 8,849,657,454.07/90,482.70
  6. Step 6: Final answer
    x = 97,804.97

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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.