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Finding the Fourth Proportional to 105,378.66, 158,130.23 and 38,865.24

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Solution

The fourth proportional to 105,378.66, 158,130.23 and 38,865.24 is: 58,320.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,378.66 : 158,130.23 = 38,865.24 : x
  2. Step 2: Convert to fraction form
    105,378.66/158,130.23 = 38,865.24/x
  3. Step 3: Cross multiply
    105,378.66x = 158,130.23 × 38,865.24
  4. Step 4: Simplify right side
    105,378.66x = 6,145,769,145.88
  5. Step 5: Solve for x
    x = 6,145,769,145.88/105,378.66
  6. Step 6: Final answer
    x = 58,320.81

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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.