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Finding the Fourth Proportional to 153,619.20, 230,428.80 and 100,475.10

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Solution

The fourth proportional to 153,619.20, 230,428.80 and 100,475.10 is: 150,712.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,619.20 : 230,428.80 = 100,475.10 : x
  2. Step 2: Convert to fraction form
    153,619.20/230,428.80 = 100,475.10/x
  3. Step 3: Cross multiply
    153,619.20x = 230,428.80 × 100,475.10
  4. Step 4: Simplify right side
    153,619.20x = 23,152,356,722.88
  5. Step 5: Solve for x
    x = 23,152,356,722.88/153,619.20
  6. Step 6: Final answer
    x = 150,712.65

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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.