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Finding the Fourth Proportional to 113,954.40, 157,225.05 and 65,553.80

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Solution

The fourth proportional to 113,954.40, 157,225.05 and 65,553.80 is: 90,445.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,954.40 : 157,225.05 = 65,553.80 : x
  2. Step 2: Convert to fraction form
    113,954.40/157,225.05 = 65,553.80/x
  3. Step 3: Cross multiply
    113,954.40x = 157,225.05 × 65,553.80
  4. Step 4: Simplify right side
    113,954.40x = 10,306,698,696.56
  5. Step 5: Solve for x
    x = 10,306,698,696.56/113,954.40
  6. Step 6: Final answer
    x = 90,445.82

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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.