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Finding the Fourth Proportional to 105,644.52, 145,724.66 and 86,291.55

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Solution

The fourth proportional to 105,644.52, 145,724.66 and 86,291.55 is: 119,029.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,644.52 : 145,724.66 = 86,291.55 : x
  2. Step 2: Convert to fraction form
    105,644.52/145,724.66 = 86,291.55/x
  3. Step 3: Cross multiply
    105,644.52x = 145,724.66 × 86,291.55
  4. Step 4: Simplify right side
    105,644.52x = 12,574,807,223.23
  5. Step 5: Solve for x
    x = 12,574,807,223.23/105,644.52
  6. Step 6: Final answer
    x = 119,029.44

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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.