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Finding the Fourth Proportional to 147,407, 203,421.48 and 80,339

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Solution

The fourth proportional to 147,407, 203,421.48 and 80,339 is: 110,867.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,407 : 203,421.48 = 80,339 : x
  2. Step 2: Convert to fraction form
    147,407/203,421.48 = 80,339/x
  3. Step 3: Cross multiply
    147,407x = 203,421.48 × 80,339
  4. Step 4: Simplify right side
    147,407x = 16,342,678,281.72
  5. Step 5: Solve for x
    x = 16,342,678,281.72/147,407
  6. Step 6: Final answer
    x = 110,867.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.