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Finding the Fourth Proportional to 147,410, 203,431.40 and 80,342

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Solution

The fourth proportional to 147,410, 203,431.40 and 80,342 is: 110,875.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,410 : 203,431.40 = 80,342 : x
  2. Step 2: Convert to fraction form
    147,410/203,431.40 = 80,342/x
  3. Step 3: Cross multiply
    147,410x = 203,431.40 × 80,342
  4. Step 4: Simplify right side
    147,410x = 16,344,085,538.80
  5. Step 5: Solve for x
    x = 16,344,085,538.80/147,410
  6. Step 6: Final answer
    x = 110,875.01

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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.