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Finding the Fourth Proportional to 121,489.16, 182,074.71 and 65,263.55

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Solution

The fourth proportional to 121,489.16, 182,074.71 and 65,263.55 is: 97,809.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,489.16 : 182,074.71 = 65,263.55 : x
  2. Step 2: Convert to fraction form
    121,489.16/182,074.71 = 65,263.55/x
  3. Step 3: Cross multiply
    121,489.16x = 182,074.71 × 65,263.55
  4. Step 4: Simplify right side
    121,489.16x = 11,882,841,939.82
  5. Step 5: Solve for x
    x = 11,882,841,939.82/121,489.16
  6. Step 6: Final answer
    x = 97,809.89

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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.