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Finding the Fourth Proportional to 159,312.76, 238,899.02 and 84,415.64

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Solution

The fourth proportional to 159,312.76, 238,899.02 and 84,415.64 is: 126,586.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,312.76 : 238,899.02 = 84,415.64 : x
  2. Step 2: Convert to fraction form
    159,312.76/238,899.02 = 84,415.64/x
  3. Step 3: Cross multiply
    159,312.76x = 238,899.02 × 84,415.64
  4. Step 4: Simplify right side
    159,312.76x = 20,166,813,668.67
  5. Step 5: Solve for x
    x = 20,166,813,668.67/159,312.76
  6. Step 6: Final answer
    x = 126,586.31

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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.