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Finding the Fourth Proportional to 51,412.70, 77,009.70 and 42,664.70

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Solution

The fourth proportional to 51,412.70, 77,009.70 and 42,664.70 is: 63,906.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,412.70 : 77,009.70 = 42,664.70 : x
  2. Step 2: Convert to fraction form
    51,412.70/77,009.70 = 42,664.70/x
  3. Step 3: Cross multiply
    51,412.70x = 77,009.70 × 42,664.70
  4. Step 4: Simplify right side
    51,412.70x = 3,285,595,747.59
  5. Step 5: Solve for x
    x = 3,285,595,747.59/51,412.70
  6. Step 6: Final answer
    x = 63,906.31

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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.