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Finding the Fourth Proportional to 91,058.76, 136,648.79 and 31,894.34

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Solution

The fourth proportional to 91,058.76, 136,648.79 and 31,894.34 is: 47,862.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,058.76 : 136,648.79 = 31,894.34 : x
  2. Step 2: Convert to fraction form
    91,058.76/136,648.79 = 31,894.34/x
  3. Step 3: Cross multiply
    91,058.76x = 136,648.79 × 31,894.34
  4. Step 4: Simplify right side
    91,058.76x = 4,358,322,245.74
  5. Step 5: Solve for x
    x = 4,358,322,245.74/91,058.76
  6. Step 6: Final answer
    x = 47,862.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.