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Finding the Fourth Proportional to 158,142.70, 218,237.45 and 86,522.50

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Solution

The fourth proportional to 158,142.70, 218,237.45 and 86,522.50 is: 119,401.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,142.70 : 218,237.45 = 86,522.50 : x
  2. Step 2: Convert to fraction form
    158,142.70/218,237.45 = 86,522.50/x
  3. Step 3: Cross multiply
    158,142.70x = 218,237.45 × 86,522.50
  4. Step 4: Simplify right side
    158,142.70x = 18,882,449,767.63
  5. Step 5: Solve for x
    x = 18,882,449,767.63/158,142.70
  6. Step 6: Final answer
    x = 119,401.34

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1.5x scale

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.