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Finding the Fourth Proportional to 105,894.90, 146,125.44 and 58,147.20

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Solution

The fourth proportional to 105,894.90, 146,125.44 and 58,147.20 is: 80,237.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,894.90 : 146,125.44 = 58,147.20 : x
  2. Step 2: Convert to fraction form
    105,894.90/146,125.44 = 58,147.20/x
  3. Step 3: Cross multiply
    105,894.90x = 146,125.44 × 58,147.20
  4. Step 4: Simplify right side
    105,894.90x = 8,496,785,184.77
  5. Step 5: Solve for x
    x = 8,496,785,184.77/105,894.90
  6. Step 6: Final answer
    x = 80,237.91

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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.