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Finding the Fourth Proportional to 147,207, 203,145.70 and 80,139

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Solution

The fourth proportional to 147,207, 203,145.70 and 80,139 is: 110,591.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,207 : 203,145.70 = 80,139 : x
  2. Step 2: Convert to fraction form
    147,207/203,145.70 = 80,139/x
  3. Step 3: Cross multiply
    147,207x = 203,145.70 × 80,139
  4. Step 4: Simplify right side
    147,207x = 16,279,893,252.30
  5. Step 5: Solve for x
    x = 16,279,893,252.30/147,207
  6. Step 6: Final answer
    x = 110,591.84

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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.