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Finding the Fourth Proportional to 54,588.68, 75,332.24 and 30,715.40

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Solution

The fourth proportional to 54,588.68, 75,332.24 and 30,715.40 is: 42,387.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,588.68 : 75,332.24 = 30,715.40 : x
  2. Step 2: Convert to fraction form
    54,588.68/75,332.24 = 30,715.40/x
  3. Step 3: Cross multiply
    54,588.68x = 75,332.24 × 30,715.40
  4. Step 4: Simplify right side
    54,588.68x = 2,313,859,884.50
  5. Step 5: Solve for x
    x = 2,313,859,884.50/54,588.68
  6. Step 6: Final answer
    x = 42,387.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.