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Finding the Fourth Proportional to 105,675.54, 145,836.78 and 63,225.90

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Solution

The fourth proportional to 105,675.54, 145,836.78 and 63,225.90 is: 87,254.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,675.54 : 145,836.78 = 63,225.90 : x
  2. Step 2: Convert to fraction form
    105,675.54/145,836.78 = 63,225.90/x
  3. Step 3: Cross multiply
    105,675.54x = 145,836.78 × 63,225.90
  4. Step 4: Simplify right side
    105,675.54x = 9,220,661,668.60
  5. Step 5: Solve for x
    x = 9,220,661,668.60/105,675.54
  6. Step 6: Final answer
    x = 87,254.46

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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.