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Finding the Fourth Proportional to 143,894.40, 215,841.60 and 142,972.80

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Solution

The fourth proportional to 143,894.40, 215,841.60 and 142,972.80 is: 214,459.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,894.40 : 215,841.60 = 142,972.80 : x
  2. Step 2: Convert to fraction form
    143,894.40/215,841.60 = 142,972.80/x
  3. Step 3: Cross multiply
    143,894.40x = 215,841.60 × 142,972.80
  4. Step 4: Simplify right side
    143,894.40x = 30,859,477,908.48
  5. Step 5: Solve for x
    x = 30,859,477,908.48/143,894.40
  6. Step 6: Final answer
    x = 214,459.20

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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.