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Finding the Fourth Proportional to 206,859.40, 310,580.70 and 128,127.40

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Solution

The fourth proportional to 206,859.40, 310,580.70 and 128,127.40 is: 192,371.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,859.40 : 310,580.70 = 128,127.40 : x
  2. Step 2: Convert to fraction form
    206,859.40/310,580.70 = 128,127.40/x
  3. Step 3: Cross multiply
    206,859.40x = 310,580.70 × 128,127.40
  4. Step 4: Simplify right side
    206,859.40x = 39,793,897,581.18
  5. Step 5: Solve for x
    x = 39,793,897,581.18/206,859.40
  6. Step 6: Final answer
    x = 192,371.72

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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.