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Finding the Fourth Proportional to 70,722.72, 106,120.53 and 31,307.51

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Solution

The fourth proportional to 70,722.72, 106,120.53 and 31,307.51 is: 46,977.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,722.72 : 106,120.53 = 31,307.51 : x
  2. Step 2: Convert to fraction form
    70,722.72/106,120.53 = 31,307.51/x
  3. Step 3: Cross multiply
    70,722.72x = 106,120.53 × 31,307.51
  4. Step 4: Simplify right side
    70,722.72x = 3,322,369,819.48
  5. Step 5: Solve for x
    x = 3,322,369,819.48/70,722.72
  6. Step 6: Final answer
    x = 46,977.40

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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.