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Finding the Fourth Proportional to 207,291.96, 310,967.10 and 102,111.84

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Solution

The fourth proportional to 207,291.96, 310,967.10 and 102,111.84 is: 153,182.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,291.96 : 310,967.10 = 102,111.84 : x
  2. Step 2: Convert to fraction form
    207,291.96/310,967.10 = 102,111.84/x
  3. Step 3: Cross multiply
    207,291.96x = 310,967.10 × 102,111.84
  4. Step 4: Simplify right side
    207,291.96x = 31,753,422,760.46
  5. Step 5: Solve for x
    x = 31,753,422,760.46/207,291.96
  6. Step 6: Final answer
    x = 153,182.12

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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.