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Finding the Fourth Proportional to 105,203.41, 145,179.74 and 57,456.95

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Solution

The fourth proportional to 105,203.41, 145,179.74 and 57,456.95 is: 79,290.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,203.41 : 145,179.74 = 57,456.95 : x
  2. Step 2: Convert to fraction form
    105,203.41/145,179.74 = 57,456.95/x
  3. Step 3: Cross multiply
    105,203.41x = 145,179.74 × 57,456.95
  4. Step 4: Simplify right side
    105,203.41x = 8,341,584,479.94
  5. Step 5: Solve for x
    x = 8,341,584,479.94/105,203.41
  6. Step 6: Final answer
    x = 79,290.06

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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.