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Finding the Fourth Proportional to 189,988.75, 285,061.58 and 83,317.48

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Solution

The fourth proportional to 189,988.75, 285,061.58 and 83,317.48 is: 125,010.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,988.75 : 285,061.58 = 83,317.48 : x
  2. Step 2: Convert to fraction form
    189,988.75/285,061.58 = 83,317.48/x
  3. Step 3: Cross multiply
    189,988.75x = 285,061.58 × 83,317.48
  4. Step 4: Simplify right side
    189,988.75x = 23,750,610,648.52
  5. Step 5: Solve for x
    x = 23,750,610,648.52/189,988.75
  6. Step 6: Final answer
    x = 125,010.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.