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Finding the Fourth Proportional to 51,231, 70,698.78 and 28,875

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Solution

The fourth proportional to 51,231, 70,698.78 and 28,875 is: 39,847.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,231 : 70,698.78 = 28,875 : x
  2. Step 2: Convert to fraction form
    51,231/70,698.78 = 28,875/x
  3. Step 3: Cross multiply
    51,231x = 70,698.78 × 28,875
  4. Step 4: Simplify right side
    51,231x = 2,041,427,272.50
  5. Step 5: Solve for x
    x = 2,041,427,272.50/51,231
  6. Step 6: Final answer
    x = 39,847.50

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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.