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Finding the Fourth Proportional to 91,058.49, 136,649.16 and 31,894.65

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Solution

The fourth proportional to 91,058.49, 136,649.16 and 31,894.65 is: 47,863.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,058.49 : 136,649.16 = 31,894.65 : x
  2. Step 2: Convert to fraction form
    91,058.49/136,649.16 = 31,894.65/x
  3. Step 3: Cross multiply
    91,058.49x = 136,649.16 × 31,894.65
  4. Step 4: Simplify right side
    91,058.49x = 4,358,377,130.99
  5. Step 5: Solve for x
    x = 4,358,377,130.99/91,058.49
  6. Step 6: Final answer
    x = 47,863.49

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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.