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Finding the Fourth Proportional to 104,065.31, 143,610.12 and 56,318.66

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Solution

The fourth proportional to 104,065.31, 143,610.12 and 56,318.66 is: 77,719.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,065.31 : 143,610.12 = 56,318.66 : x
  2. Step 2: Convert to fraction form
    104,065.31/143,610.12 = 56,318.66/x
  3. Step 3: Cross multiply
    104,065.31x = 143,610.12 × 56,318.66
  4. Step 4: Simplify right side
    104,065.31x = 8,087,929,095.82
  5. Step 5: Solve for x
    x = 8,087,929,095.82/104,065.31
  6. Step 6: Final answer
    x = 77,719.74

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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.