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Finding the Fourth Proportional to 51,072, 70,479.36 and 28,716

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Solution

The fourth proportional to 51,072, 70,479.36 and 28,716 is: 39,628.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,072 : 70,479.36 = 28,716 : x
  2. Step 2: Convert to fraction form
    51,072/70,479.36 = 28,716/x
  3. Step 3: Cross multiply
    51,072x = 70,479.36 × 28,716
  4. Step 4: Simplify right side
    51,072x = 2,023,885,301.76
  5. Step 5: Solve for x
    x = 2,023,885,301.76/51,072
  6. Step 6: Final answer
    x = 39,628.08

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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.