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Finding the Fourth Proportional to 105,202.16, 157,823.83 and 38,642.79

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Solution

The fourth proportional to 105,202.16, 157,823.83 and 38,642.79 is: 57,971.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,202.16 : 157,823.83 = 38,642.79 : x
  2. Step 2: Convert to fraction form
    105,202.16/157,823.83 = 38,642.79/x
  3. Step 3: Cross multiply
    105,202.16x = 157,823.83 × 38,642.79
  4. Step 4: Simplify right side
    105,202.16x = 6,098,752,654.70
  5. Step 5: Solve for x
    x = 6,098,752,654.70/105,202.16
  6. Step 6: Final answer
    x = 57,971.74

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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.