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Finding the Fourth Proportional to 160,513.72, 221,545.80 and 106,801

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Solution

The fourth proportional to 160,513.72, 221,545.80 and 106,801 is: 147,409.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,513.72 : 221,545.80 = 106,801 : x
  2. Step 2: Convert to fraction form
    160,513.72/221,545.80 = 106,801/x
  3. Step 3: Cross multiply
    160,513.72x = 221,545.80 × 106,801
  4. Step 4: Simplify right side
    160,513.72x = 23,661,312,985.80
  5. Step 5: Solve for x
    x = 23,661,312,985.80/160,513.72
  6. Step 6: Final answer
    x = 147,409.91

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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.