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Finding the Fourth Proportional to 105,420.20, 158,216.70 and 101,964.20

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Solution

The fourth proportional to 105,420.20, 158,216.70 and 101,964.20 is: 153,029.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,420.20 : 158,216.70 = 101,964.20 : x
  2. Step 2: Convert to fraction form
    105,420.20/158,216.70 = 101,964.20/x
  3. Step 3: Cross multiply
    105,420.20x = 158,216.70 × 101,964.20
  4. Step 4: Simplify right side
    105,420.20x = 16,132,439,242.14
  5. Step 5: Solve for x
    x = 16,132,439,242.14/105,420.20
  6. Step 6: Final answer
    x = 153,029.87

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1.5x scale

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.