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Finding the Fourth Proportional to 206,987.76, 310,416.84 and 137,237.04

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Solution

The fourth proportional to 206,987.76, 310,416.84 and 137,237.04 is: 205,812.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,987.76 : 310,416.84 = 137,237.04 : x
  2. Step 2: Convert to fraction form
    206,987.76/310,416.84 = 137,237.04/x
  3. Step 3: Cross multiply
    206,987.76x = 310,416.84 × 137,237.04
  4. Step 4: Simplify right side
    206,987.76x = 42,600,688,287.75
  5. Step 5: Solve for x
    x = 42,600,688,287.75/206,987.76
  6. Step 6: Final answer
    x = 205,812.60

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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.