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Finding the Fourth Proportional to 159,048.35, 219,324 and 105,313.76

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Solution

The fourth proportional to 159,048.35, 219,324 and 105,313.76 is: 145,225.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,048.35 : 219,324 = 105,313.76 : x
  2. Step 2: Convert to fraction form
    159,048.35/219,324 = 105,313.76/x
  3. Step 3: Cross multiply
    159,048.35x = 219,324 × 105,313.76
  4. Step 4: Simplify right side
    159,048.35x = 23,097,834,001.62
  5. Step 5: Solve for x
    x = 23,097,834,001.62/159,048.35
  6. Step 6: Final answer
    x = 145,225.24

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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.