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Finding the Fourth Proportional to 51,685.84, 71,320.88 and 29,027.28

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Solution

The fourth proportional to 51,685.84, 71,320.88 and 29,027.28 is: 40,054.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,685.84 : 71,320.88 = 29,027.28 : x
  2. Step 2: Convert to fraction form
    51,685.84/71,320.88 = 29,027.28/x
  3. Step 3: Cross multiply
    51,685.84x = 71,320.88 × 29,027.28
  4. Step 4: Simplify right side
    51,685.84x = 2,070,251,153.61
  5. Step 5: Solve for x
    x = 2,070,251,153.61/51,685.84
  6. Step 6: Final answer
    x = 40,054.51

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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.