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Finding the Fourth Proportional to 230,869.80, 346,232.70 and 90,671.40

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Solution

The fourth proportional to 230,869.80, 346,232.70 and 90,671.40 is: 135,978.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,869.80 : 346,232.70 = 90,671.40 : x
  2. Step 2: Convert to fraction form
    230,869.80/346,232.70 = 90,671.40/x
  3. Step 3: Cross multiply
    230,869.80x = 346,232.70 × 90,671.40
  4. Step 4: Simplify right side
    230,869.80x = 31,393,403,634.78
  5. Step 5: Solve for x
    x = 31,393,403,634.78/230,869.80
  6. Step 6: Final answer
    x = 135,978.82

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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.