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Finding the Fourth Proportional to 147,054.30, 202,978.39 and 86,644.45

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Solution

The fourth proportional to 147,054.30, 202,978.39 and 86,644.45 is: 119,594.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,054.30 : 202,978.39 = 86,644.45 : x
  2. Step 2: Convert to fraction form
    147,054.30/202,978.39 = 86,644.45/x
  3. Step 3: Cross multiply
    147,054.30x = 202,978.39 × 86,644.45
  4. Step 4: Simplify right side
    147,054.30x = 17,586,950,963.44
  5. Step 5: Solve for x
    x = 17,586,950,963.44/147,054.30
  6. Step 6: Final answer
    x = 119,594.95

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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.