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Finding the Fourth Proportional to 97,728.81, 134,854.38 and 54,710.66

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Solution

The fourth proportional to 97,728.81, 134,854.38 and 54,710.66 is: 75,494.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,728.81 : 134,854.38 = 54,710.66 : x
  2. Step 2: Convert to fraction form
    97,728.81/134,854.38 = 54,710.66/x
  3. Step 3: Cross multiply
    97,728.81x = 134,854.38 × 54,710.66
  4. Step 4: Simplify right side
    97,728.81x = 7,377,971,459.42
  5. Step 5: Solve for x
    x = 7,377,971,459.42/97,728.81
  6. Step 6: Final answer
    x = 75,494.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.