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Finding the Fourth Proportional to 143,031.68, 214,569.12 and 53,103.68

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Solution

The fourth proportional to 143,031.68, 214,569.12 and 53,103.68 is: 79,663.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,031.68 : 214,569.12 = 53,103.68 : x
  2. Step 2: Convert to fraction form
    143,031.68/214,569.12 = 53,103.68/x
  3. Step 3: Cross multiply
    143,031.68x = 214,569.12 × 53,103.68
  4. Step 4: Simplify right side
    143,031.68x = 11,394,409,886.36
  5. Step 5: Solve for x
    x = 11,394,409,886.36/143,031.68
  6. Step 6: Final answer
    x = 79,663.54

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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.