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Finding the Fourth Proportional to 57,012.99, 78,677.73 and 31,862.49

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Solution

The fourth proportional to 57,012.99, 78,677.73 and 31,862.49 is: 43,970.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,012.99 : 78,677.73 = 31,862.49 : x
  2. Step 2: Convert to fraction form
    57,012.99/78,677.73 = 31,862.49/x
  3. Step 3: Cross multiply
    57,012.99x = 78,677.73 × 31,862.49
  4. Step 4: Simplify right side
    57,012.99x = 2,506,868,385.35
  5. Step 5: Solve for x
    x = 2,506,868,385.35/57,012.99
  6. Step 6: Final answer
    x = 43,970.13

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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.