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Finding the Fourth Proportional to 159,403.71, 219,968.34 and 87,769.74

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Solution

The fourth proportional to 159,403.71, 219,968.34 and 87,769.74 is: 121,117.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,403.71 : 219,968.34 = 87,769.74 : x
  2. Step 2: Convert to fraction form
    159,403.71/219,968.34 = 87,769.74/x
  3. Step 3: Cross multiply
    159,403.71x = 219,968.34 × 87,769.74
  4. Step 4: Simplify right side
    159,403.71x = 19,306,564,010.03
  5. Step 5: Solve for x
    x = 19,306,564,010.03/159,403.71
  6. Step 6: Final answer
    x = 121,117.41

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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.