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Finding the Fourth Proportional to 52,410.90, 78,616.35 and 31,415.70

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Solution

The fourth proportional to 52,410.90, 78,616.35 and 31,415.70 is: 47,123.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,410.90 : 78,616.35 = 31,415.70 : x
  2. Step 2: Convert to fraction form
    52,410.90/78,616.35 = 31,415.70/x
  3. Step 3: Cross multiply
    52,410.90x = 78,616.35 × 31,415.70
  4. Step 4: Simplify right side
    52,410.90x = 2,469,787,666.70
  5. Step 5: Solve for x
    x = 2,469,787,666.70/52,410.90
  6. Step 6: Final answer
    x = 47,123.55

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1.5x scale

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.