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Finding the Fourth Proportional to 106,386.63, 159,472.29 and 68,970.47

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Solution

The fourth proportional to 106,386.63, 159,472.29 and 68,970.47 is: 103,385.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,386.63 : 159,472.29 = 68,970.47 : x
  2. Step 2: Convert to fraction form
    106,386.63/159,472.29 = 68,970.47/x
  3. Step 3: Cross multiply
    106,386.63x = 159,472.29 × 68,970.47
  4. Step 4: Simplify right side
    106,386.63x = 10,998,878,793.28
  5. Step 5: Solve for x
    x = 10,998,878,793.28/106,386.63
  6. Step 6: Final answer
    x = 103,385.91

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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.