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Finding the Fourth Proportional to 54,978.93, 75,870.40 and 31,105.61

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Solution

The fourth proportional to 54,978.93, 75,870.40 and 31,105.61 is: 42,925.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,978.93 : 75,870.40 = 31,105.61 : x
  2. Step 2: Convert to fraction form
    54,978.93/75,870.40 = 31,105.61/x
  3. Step 3: Cross multiply
    54,978.93x = 75,870.40 × 31,105.61
  4. Step 4: Simplify right side
    54,978.93x = 2,359,995,072.94
  5. Step 5: Solve for x
    x = 2,359,995,072.94/54,978.93
  6. Step 6: Final answer
    x = 42,925.45

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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.