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Finding the Fourth Proportional to 54,342, 75,117.48 and 45,336.96

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Solution

The fourth proportional to 54,342, 75,117.48 and 45,336.96 is: 62,669.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,342 : 75,117.48 = 45,336.96 : x
  2. Step 2: Convert to fraction form
    54,342/75,117.48 = 45,336.96/x
  3. Step 3: Cross multiply
    54,342x = 75,117.48 × 45,336.96
  4. Step 4: Simplify right side
    54,342x = 3,405,598,186.06
  5. Step 5: Solve for x
    x = 3,405,598,186.06/54,342
  6. Step 6: Final answer
    x = 62,669.72

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1.5x scale

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.