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Finding the Fourth Proportional to 105,205.65, 157,854.93 and 55,273.80

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Solution

The fourth proportional to 105,205.65, 157,854.93 and 55,273.80 is: 82,935.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,205.65 : 157,854.93 = 55,273.80 : x
  2. Step 2: Convert to fraction form
    105,205.65/157,854.93 = 55,273.80/x
  3. Step 3: Cross multiply
    105,205.65x = 157,854.93 × 55,273.80
  4. Step 4: Simplify right side
    105,205.65x = 8,725,241,829.83
  5. Step 5: Solve for x
    x = 8,725,241,829.83/105,205.65
  6. Step 6: Final answer
    x = 82,935.11

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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.