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Finding the Fourth Proportional to 272,063, 408,118.02 and 75,071

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Solution

The fourth proportional to 272,063, 408,118.02 and 75,071 is: 112,612.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,063 : 408,118.02 = 75,071 : x
  2. Step 2: Convert to fraction form
    272,063/408,118.02 = 75,071/x
  3. Step 3: Cross multiply
    272,063x = 408,118.02 × 75,071
  4. Step 4: Simplify right side
    272,063x = 30,637,827,879.42
  5. Step 5: Solve for x
    x = 30,637,827,879.42/272,063
  6. Step 6: Final answer
    x = 112,612.99

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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.