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Finding the Fourth Proportional to 54,780, 75,599.85 and 30,897.96

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Solution

The fourth proportional to 54,780, 75,599.85 and 30,897.96 is: 42,641.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,780 : 75,599.85 = 30,897.96 : x
  2. Step 2: Convert to fraction form
    54,780/75,599.85 = 30,897.96/x
  3. Step 3: Cross multiply
    54,780x = 75,599.85 × 30,897.96
  4. Step 4: Simplify right side
    54,780x = 2,335,881,141.31
  5. Step 5: Solve for x
    x = 2,335,881,141.31/54,780
  6. Step 6: Final answer
    x = 42,641.13

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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.