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Finding the Fourth Proportional to 54,101.10, 81,151.65 and 31,925.10

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Solution

The fourth proportional to 54,101.10, 81,151.65 and 31,925.10 is: 47,887.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,101.10 : 81,151.65 = 31,925.10 : x
  2. Step 2: Convert to fraction form
    54,101.10/81,151.65 = 31,925.10/x
  3. Step 3: Cross multiply
    54,101.10x = 81,151.65 × 31,925.10
  4. Step 4: Simplify right side
    54,101.10x = 2,590,774,541.42
  5. Step 5: Solve for x
    x = 2,590,774,541.42/54,101.10
  6. Step 6: Final answer
    x = 47,887.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.