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Finding the Fourth Proportional to 91,298.30, 136,962.03 and 31,319.96

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Solution

The fourth proportional to 91,298.30, 136,962.03 and 31,319.96 is: 46,984.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,298.30 : 136,962.03 = 31,319.96 : x
  2. Step 2: Convert to fraction form
    91,298.30/136,962.03 = 31,319.96/x
  3. Step 3: Cross multiply
    91,298.30x = 136,962.03 × 31,319.96
  4. Step 4: Simplify right side
    91,298.30x = 4,289,645,301.12
  5. Step 5: Solve for x
    x = 4,289,645,301.12/91,298.30
  6. Step 6: Final answer
    x = 46,984.94

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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.