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Finding the Fourth Proportional to 159,465.81, 239,165.87 and 70,662.68

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Solution

The fourth proportional to 159,465.81, 239,165.87 and 70,662.68 is: 105,979.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,465.81 : 239,165.87 = 70,662.68 : x
  2. Step 2: Convert to fraction form
    159,465.81/239,165.87 = 70,662.68/x
  3. Step 3: Cross multiply
    159,465.81x = 239,165.87 × 70,662.68
  4. Step 4: Simplify right side
    159,465.81x = 16,900,100,686.46
  5. Step 5: Solve for x
    x = 16,900,100,686.46/159,465.81
  6. Step 6: Final answer
    x = 105,979.46

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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.