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Finding the Fourth Proportional to 207,233.02, 310,842.24 and 66,988

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Solution

The fourth proportional to 207,233.02, 310,842.24 and 66,988 is: 100,479.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,233.02 : 310,842.24 = 66,988 : x
  2. Step 2: Convert to fraction form
    207,233.02/310,842.24 = 66,988/x
  3. Step 3: Cross multiply
    207,233.02x = 310,842.24 × 66,988
  4. Step 4: Simplify right side
    207,233.02x = 20,822,699,973.12
  5. Step 5: Solve for x
    x = 20,822,699,973.12/207,233.02
  6. Step 6: Final answer
    x = 100,479.64

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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.