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Finding the Fourth Proportional to 90,655.48, 135,979.12 and 31,495.78

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Solution

The fourth proportional to 90,655.48, 135,979.12 and 31,495.78 is: 47,242.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,655.48 : 135,979.12 = 31,495.78 : x
  2. Step 2: Convert to fraction form
    90,655.48/135,979.12 = 31,495.78/x
  3. Step 3: Cross multiply
    90,655.48x = 135,979.12 × 31,495.78
  4. Step 4: Simplify right side
    90,655.48x = 4,282,768,448.11
  5. Step 5: Solve for x
    x = 4,282,768,448.11/90,655.48
  6. Step 6: Final answer
    x = 47,242.25

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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.