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Finding the Fourth Proportional to 104,242.66, 143,854.80 and 56,496

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Solution

The fourth proportional to 104,242.66, 143,854.80 and 56,496 is: 77,964.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,242.66 : 143,854.80 = 56,496 : x
  2. Step 2: Convert to fraction form
    104,242.66/143,854.80 = 56,496/x
  3. Step 3: Cross multiply
    104,242.66x = 143,854.80 × 56,496
  4. Step 4: Simplify right side
    104,242.66x = 8,127,220,780.80
  5. Step 5: Solve for x
    x = 8,127,220,780.80/104,242.66
  6. Step 6: Final answer
    x = 77,964.44

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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.