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Finding the Fourth Proportional to 159,122.34, 219,583.17 and 87,501.87

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Solution

The fourth proportional to 159,122.34, 219,583.17 and 87,501.87 is: 120,749.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,122.34 : 219,583.17 = 87,501.87 : x
  2. Step 2: Convert to fraction form
    159,122.34/219,583.17 = 87,501.87/x
  3. Step 3: Cross multiply
    159,122.34x = 219,583.17 × 87,501.87
  4. Step 4: Simplify right side
    159,122.34x = 19,213,937,995.53
  5. Step 5: Solve for x
    x = 19,213,937,995.53/159,122.34
  6. Step 6: Final answer
    x = 120,749.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.