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Finding the Fourth Proportional to 105,202.68, 157,842.90 and 38,686.29

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Solution

The fourth proportional to 105,202.68, 157,842.90 and 38,686.29 is: 58,043.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,202.68 : 157,842.90 = 38,686.29 : x
  2. Step 2: Convert to fraction form
    105,202.68/157,842.90 = 38,686.29/x
  3. Step 3: Cross multiply
    105,202.68x = 157,842.90 × 38,686.29
  4. Step 4: Simplify right side
    105,202.68x = 6,106,356,203.84
  5. Step 5: Solve for x
    x = 6,106,356,203.84/105,202.68
  6. Step 6: Final answer
    x = 58,043.73

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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.