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Finding the Fourth Proportional to 159,304.86, 219,838.98 and 87,683.34

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Solution

The fourth proportional to 159,304.86, 219,838.98 and 87,683.34 is: 121,002.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,304.86 : 219,838.98 = 87,683.34 : x
  2. Step 2: Convert to fraction form
    159,304.86/219,838.98 = 87,683.34/x
  3. Step 3: Cross multiply
    159,304.86x = 219,838.98 × 87,683.34
  4. Step 4: Simplify right side
    159,304.86x = 19,276,216,028.59
  5. Step 5: Solve for x
    x = 19,276,216,028.59/159,304.86
  6. Step 6: Final answer
    x = 121,002.06

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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.