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Finding the Fourth Proportional to 57,411.84, 79,229.70 and 31,918.98

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Solution

The fourth proportional to 57,411.84, 79,229.70 and 31,918.98 is: 44,048.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,411.84 : 79,229.70 = 31,918.98 : x
  2. Step 2: Convert to fraction form
    57,411.84/79,229.70 = 31,918.98/x
  3. Step 3: Cross multiply
    57,411.84x = 79,229.70 × 31,918.98
  4. Step 4: Simplify right side
    57,411.84x = 2,528,931,209.71
  5. Step 5: Solve for x
    x = 2,528,931,209.71/57,411.84
  6. Step 6: Final answer
    x = 44,048.95

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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.