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Finding the Fourth Proportional to 159,889, 239,833.50 and 43,153

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Solution

The fourth proportional to 159,889, 239,833.50 and 43,153 is: 64,729.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,889 : 239,833.50 = 43,153 : x
  2. Step 2: Convert to fraction form
    159,889/239,833.50 = 43,153/x
  3. Step 3: Cross multiply
    159,889x = 239,833.50 × 43,153
  4. Step 4: Simplify right side
    159,889x = 10,349,535,025.50
  5. Step 5: Solve for x
    x = 10,349,535,025.50/159,889
  6. Step 6: Final answer
    x = 64,729.50

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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.