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Finding the Fourth Proportional to 142,051.68, 213,022.14 and 53,256.78

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Solution

The fourth proportional to 142,051.68, 213,022.14 and 53,256.78 is: 79,864.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,051.68 : 213,022.14 = 53,256.78 : x
  2. Step 2: Convert to fraction form
    142,051.68/213,022.14 = 53,256.78/x
  3. Step 3: Cross multiply
    142,051.68x = 213,022.14 × 53,256.78
  4. Step 4: Simplify right side
    142,051.68x = 11,344,873,245.11
  5. Step 5: Solve for x
    x = 11,344,873,245.11/142,051.68
  6. Step 6: Final answer
    x = 79,864.41

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1.5x scale

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.