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Finding the Fourth Proportional to 104,243.66, 143,856.18 and 56,497

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Solution

The fourth proportional to 104,243.66, 143,856.18 and 56,497 is: 77,965.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,243.66 : 143,856.18 = 56,497 : x
  2. Step 2: Convert to fraction form
    104,243.66/143,856.18 = 56,497/x
  3. Step 3: Cross multiply
    104,243.66x = 143,856.18 × 56,497
  4. Step 4: Simplify right side
    104,243.66x = 8,127,442,601.46
  5. Step 5: Solve for x
    x = 8,127,442,601.46/104,243.66
  6. Step 6: Final answer
    x = 77,965.82

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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.