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Finding the Fourth Proportional to 104,282, 144,027.96 and 70,689.68

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Solution

The fourth proportional to 104,282, 144,027.96 and 70,689.68 is: 97,632.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,282 : 144,027.96 = 70,689.68 : x
  2. Step 2: Convert to fraction form
    104,282/144,027.96 = 70,689.68/x
  3. Step 3: Cross multiply
    104,282x = 144,027.96 × 70,689.68
  4. Step 4: Simplify right side
    104,282x = 10,181,290,403.45
  5. Step 5: Solve for x
    x = 10,181,290,403.45/104,282
  6. Step 6: Final answer
    x = 97,632.29

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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.