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Finding the Fourth Proportional to 187,574.34, 258,801.42 and 106,972.45

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Solution

The fourth proportional to 187,574.34, 258,801.42 and 106,972.45 is: 147,592.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,574.34 : 258,801.42 = 106,972.45 : x
  2. Step 2: Convert to fraction form
    187,574.34/258,801.42 = 106,972.45/x
  3. Step 3: Cross multiply
    187,574.34x = 258,801.42 × 106,972.45
  4. Step 4: Simplify right side
    187,574.34x = 27,684,621,960.88
  5. Step 5: Solve for x
    x = 27,684,621,960.88/187,574.34
  6. Step 6: Final answer
    x = 147,592.80

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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.