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Finding the Fourth Proportional to 159,412.16, 238,913.12 and 80,349.44

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Solution

The fourth proportional to 159,412.16, 238,913.12 and 80,349.44 is: 120,420.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,412.16 : 238,913.12 = 80,349.44 : x
  2. Step 2: Convert to fraction form
    159,412.16/238,913.12 = 80,349.44/x
  3. Step 3: Cross multiply
    159,412.16x = 238,913.12 × 80,349.44
  4. Step 4: Simplify right side
    159,412.16x = 19,196,535,400.65
  5. Step 5: Solve for x
    x = 19,196,535,400.65/159,412.16
  6. Step 6: Final answer
    x = 120,420.77

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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.