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Finding the Fourth Proportional to 54,588.94, 75,331.95 and 30,715.63

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Solution

The fourth proportional to 54,588.94, 75,331.95 and 30,715.63 is: 42,387.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,588.94 : 75,331.95 = 30,715.63 : x
  2. Step 2: Convert to fraction form
    54,588.94/75,331.95 = 30,715.63/x
  3. Step 3: Cross multiply
    54,588.94x = 75,331.95 × 30,715.63
  4. Step 4: Simplify right side
    54,588.94x = 2,313,868,303.38
  5. Step 5: Solve for x
    x = 2,313,868,303.38/54,588.94
  6. Step 6: Final answer
    x = 42,387.13

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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.