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Finding the Fourth Proportional to 121,898.68, 182,917.66 and 65,738.40

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Solution

The fourth proportional to 121,898.68, 182,917.66 and 65,738.40 is: 98,645.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,898.68 : 182,917.66 = 65,738.40 : x
  2. Step 2: Convert to fraction form
    121,898.68/182,917.66 = 65,738.40/x
  3. Step 3: Cross multiply
    121,898.68x = 182,917.66 × 65,738.40
  4. Step 4: Simplify right side
    121,898.68x = 12,024,714,300.14
  5. Step 5: Solve for x
    x = 12,024,714,300.14/121,898.68
  6. Step 6: Final answer
    x = 98,645.16

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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.