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Finding the Fourth Proportional to 90,641.16, 135,915.03 and 40,678.40

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Solution

The fourth proportional to 90,641.16, 135,915.03 and 40,678.40 is: 60,996.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,641.16 : 135,915.03 = 40,678.40 : x
  2. Step 2: Convert to fraction form
    90,641.16/135,915.03 = 40,678.40/x
  3. Step 3: Cross multiply
    90,641.16x = 135,915.03 × 40,678.40
  4. Step 4: Simplify right side
    90,641.16x = 5,528,806,296.14
  5. Step 5: Solve for x
    x = 5,528,806,296.14/90,641.16
  6. Step 6: Final answer
    x = 60,996.64

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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.