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Finding the Fourth Proportional to 54,348, 75,125.76 and 45,342.96

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Solution

The fourth proportional to 54,348, 75,125.76 and 45,342.96 is: 62,678.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,348 : 75,125.76 = 45,342.96 : x
  2. Step 2: Convert to fraction form
    54,348/75,125.76 = 45,342.96/x
  3. Step 3: Cross multiply
    54,348x = 75,125.76 × 45,342.96
  4. Step 4: Simplify right side
    54,348x = 3,406,424,330.65
  5. Step 5: Solve for x
    x = 3,406,424,330.65/54,348
  6. Step 6: Final answer
    x = 62,678.01

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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.