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Finding the Fourth Proportional to 51,712.50, 71,363.25 and 28,160.50

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Solution

The fourth proportional to 51,712.50, 71,363.25 and 28,160.50 is: 38,861.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,712.50 : 71,363.25 = 28,160.50 : x
  2. Step 2: Convert to fraction form
    51,712.50/71,363.25 = 28,160.50/x
  3. Step 3: Cross multiply
    51,712.50x = 71,363.25 × 28,160.50
  4. Step 4: Simplify right side
    51,712.50x = 2,009,624,801.63
  5. Step 5: Solve for x
    x = 2,009,624,801.63/51,712.50
  6. Step 6: Final answer
    x = 38,861.49

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1.5x scale

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.