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Finding the Fourth Proportional to 110,117.70, 165,176.55 and 65,721.60

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Solution

The fourth proportional to 110,117.70, 165,176.55 and 65,721.60 is: 98,582.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,117.70 : 165,176.55 = 65,721.60 : x
  2. Step 2: Convert to fraction form
    110,117.70/165,176.55 = 65,721.60/x
  3. Step 3: Cross multiply
    110,117.70x = 165,176.55 × 65,721.60
  4. Step 4: Simplify right side
    110,117.70x = 10,855,667,148.48
  5. Step 5: Solve for x
    x = 10,855,667,148.48/110,117.70
  6. Step 6: Final answer
    x = 98,582.40

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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.