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Finding the Fourth Proportional to 54,978.12, 75,904.16 and 37,780.10

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Solution

The fourth proportional to 54,978.12, 75,904.16 and 37,780.10 is: 52,160.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,978.12 : 75,904.16 = 37,780.10 : x
  2. Step 2: Convert to fraction form
    54,978.12/75,904.16 = 37,780.10/x
  3. Step 3: Cross multiply
    54,978.12x = 75,904.16 × 37,780.10
  4. Step 4: Simplify right side
    54,978.12x = 2,867,666,471.44
  5. Step 5: Solve for x
    x = 2,867,666,471.44/54,978.12
  6. Step 6: Final answer
    x = 52,160.14

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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.