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Finding the Fourth Proportional to 206,875.20, 310,366.80 and 66,637.20

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Solution

The fourth proportional to 206,875.20, 310,366.80 and 66,637.20 is: 99,973.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,875.20 : 310,366.80 = 66,637.20 : x
  2. Step 2: Convert to fraction form
    206,875.20/310,366.80 = 66,637.20/x
  3. Step 3: Cross multiply
    206,875.20x = 310,366.80 × 66,637.20
  4. Step 4: Simplify right side
    206,875.20x = 20,681,974,524.96
  5. Step 5: Solve for x
    x = 20,681,974,524.96/206,875.20
  6. Step 6: Final answer
    x = 99,973.19

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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.