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Finding the Fourth Proportional to 104,124.68, 143,691.84 and 56,378

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Solution

The fourth proportional to 104,124.68, 143,691.84 and 56,378 is: 77,801.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,124.68 : 143,691.84 = 56,378 : x
  2. Step 2: Convert to fraction form
    104,124.68/143,691.84 = 56,378/x
  3. Step 3: Cross multiply
    104,124.68x = 143,691.84 × 56,378
  4. Step 4: Simplify right side
    104,124.68x = 8,101,058,555.52
  5. Step 5: Solve for x
    x = 8,101,058,555.52/104,124.68
  6. Step 6: Final answer
    x = 77,801.52

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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.