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Finding the Fourth Proportional to 163,340.61, 225,462.88 and 105,878.55

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Solution

The fourth proportional to 163,340.61, 225,462.88 and 105,878.55 is: 146,146.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,340.61 : 225,462.88 = 105,878.55 : x
  2. Step 2: Convert to fraction form
    163,340.61/225,462.88 = 105,878.55/x
  3. Step 3: Cross multiply
    163,340.61x = 225,462.88 × 105,878.55
  4. Step 4: Simplify right side
    163,340.61x = 23,871,682,813.22
  5. Step 5: Solve for x
    x = 23,871,682,813.22/163,340.61
  6. Step 6: Final answer
    x = 146,146.65

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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.