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Finding the Fourth Proportional to 121,296.90, 181,945.35 and 65,115.30

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Solution

The fourth proportional to 121,296.90, 181,945.35 and 65,115.30 is: 97,672.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,296.90 : 181,945.35 = 65,115.30 : x
  2. Step 2: Convert to fraction form
    121,296.90/181,945.35 = 65,115.30/x
  3. Step 3: Cross multiply
    121,296.90x = 181,945.35 × 65,115.30
  4. Step 4: Simplify right side
    121,296.90x = 11,847,426,048.86
  5. Step 5: Solve for x
    x = 11,847,426,048.86/121,296.90
  6. Step 6: Final answer
    x = 97,672.95

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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.