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Finding the Fourth Proportional to 206,877.40, 310,607.70 and 128,145.40

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Solution

The fourth proportional to 206,877.40, 310,607.70 and 128,145.40 is: 192,398.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,877.40 : 310,607.70 = 128,145.40 : x
  2. Step 2: Convert to fraction form
    206,877.40/310,607.70 = 128,145.40/x
  3. Step 3: Cross multiply
    206,877.40x = 310,607.70 × 128,145.40
  4. Step 4: Simplify right side
    206,877.40x = 39,802,947,959.58
  5. Step 5: Solve for x
    x = 39,802,947,959.58/206,877.40
  6. Step 6: Final answer
    x = 192,398.72

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1.5x scale

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.