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Finding the Fourth Proportional to 105,301.60, 158,014.80 and 38,788.48

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Solution

The fourth proportional to 105,301.60, 158,014.80 and 38,788.48 is: 58,205.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,301.60 : 158,014.80 = 38,788.48 : x
  2. Step 2: Convert to fraction form
    105,301.60/158,014.80 = 38,788.48/x
  3. Step 3: Cross multiply
    105,301.60x = 158,014.80 × 38,788.48
  4. Step 4: Simplify right side
    105,301.60x = 6,129,153,909.50
  5. Step 5: Solve for x
    x = 6,129,153,909.50/105,301.60
  6. Step 6: Final answer
    x = 58,205.71

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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.