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Finding the Fourth Proportional to 90,496.80, 135,712.68 and 31,316.40

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Solution

The fourth proportional to 90,496.80, 135,712.68 and 31,316.40 is: 46,963.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,496.80 : 135,712.68 = 31,316.40 : x
  2. Step 2: Convert to fraction form
    90,496.80/135,712.68 = 31,316.40/x
  3. Step 3: Cross multiply
    90,496.80x = 135,712.68 × 31,316.40
  4. Step 4: Simplify right side
    90,496.80x = 4,250,032,571.95
  5. Step 5: Solve for x
    x = 4,250,032,571.95/90,496.80
  6. Step 6: Final answer
    x = 46,963.35

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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.