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Finding the Fourth Proportional to 90,470.40, 135,718.40 and 35,072

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Solution

The fourth proportional to 90,470.40, 135,718.40 and 35,072 is: 52,612.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,470.40 : 135,718.40 = 35,072 : x
  2. Step 2: Convert to fraction form
    90,470.40/135,718.40 = 35,072/x
  3. Step 3: Cross multiply
    90,470.40x = 135,718.40 × 35,072
  4. Step 4: Simplify right side
    90,470.40x = 4,759,915,724.80
  5. Step 5: Solve for x
    x = 4,759,915,724.80/90,470.40
  6. Step 6: Final answer
    x = 52,612.96

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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.