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Finding the Fourth Proportional to 100,530.32, 150,802.68 and 30,415.10

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Solution

The fourth proportional to 100,530.32, 150,802.68 and 30,415.10 is: 45,624.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,530.32 : 150,802.68 = 30,415.10 : x
  2. Step 2: Convert to fraction form
    100,530.32/150,802.68 = 30,415.10/x
  3. Step 3: Cross multiply
    100,530.32x = 150,802.68 × 30,415.10
  4. Step 4: Simplify right side
    100,530.32x = 4,586,678,592.47
  5. Step 5: Solve for x
    x = 4,586,678,592.47/100,530.32
  6. Step 6: Final answer
    x = 45,624.83

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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.