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Finding the Fourth Proportional to 105,671.40, 145,822.48 and 63,227.40

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Solution

The fourth proportional to 105,671.40, 145,822.48 and 63,227.40 is: 87,251.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,671.40 : 145,822.48 = 63,227.40 : x
  2. Step 2: Convert to fraction form
    105,671.40/145,822.48 = 63,227.40/x
  3. Step 3: Cross multiply
    105,671.40x = 145,822.48 × 63,227.40
  4. Step 4: Simplify right side
    105,671.40x = 9,219,976,271.95
  5. Step 5: Solve for x
    x = 9,219,976,271.95/105,671.40
  6. Step 6: Final answer
    x = 87,251.39

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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.