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Finding the Fourth Proportional to 207,298.96, 310,815.42 and 99,183.76

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Solution

The fourth proportional to 207,298.96, 310,815.42 and 99,183.76 is: 148,712.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,298.96 : 310,815.42 = 99,183.76 : x
  2. Step 2: Convert to fraction form
    207,298.96/310,815.42 = 99,183.76/x
  3. Step 3: Cross multiply
    207,298.96x = 310,815.42 × 99,183.76
  4. Step 4: Simplify right side
    207,298.96x = 30,827,842,021.58
  5. Step 5: Solve for x
    x = 30,827,842,021.58/207,298.96
  6. Step 6: Final answer
    x = 148,712.00

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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.