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Finding the Fourth Proportional to 54,869.68, 75,719.76 and 29,719

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Solution

The fourth proportional to 54,869.68, 75,719.76 and 29,719 is: 41,012.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,869.68 : 75,719.76 = 29,719 : x
  2. Step 2: Convert to fraction form
    54,869.68/75,719.76 = 29,719/x
  3. Step 3: Cross multiply
    54,869.68x = 75,719.76 × 29,719
  4. Step 4: Simplify right side
    54,869.68x = 2,250,315,547.44
  5. Step 5: Solve for x
    x = 2,250,315,547.44/54,869.68
  6. Step 6: Final answer
    x = 41,012.00

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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.