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Finding the Fourth Proportional to 30,124, 45,154.66 and 10,118.65

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Solution

The fourth proportional to 30,124, 45,154.66 and 10,118.65 is: 15,167.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,124 : 45,154.66 = 10,118.65 : x
  2. Step 2: Convert to fraction form
    30,124/45,154.66 = 10,118.65/x
  3. Step 3: Cross multiply
    30,124x = 45,154.66 × 10,118.65
  4. Step 4: Simplify right side
    30,124x = 456,904,200.41
  5. Step 5: Solve for x
    x = 456,904,200.41/30,124
  6. Step 6: Final answer
    x = 15,167.45

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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.