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Finding the Fourth Proportional to 65,898.36, 90,954.63 and 51,529.77

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Solution

The fourth proportional to 65,898.36, 90,954.63 and 51,529.77 is: 71,122.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,898.36 : 90,954.63 = 51,529.77 : x
  2. Step 2: Convert to fraction form
    65,898.36/90,954.63 = 51,529.77/x
  3. Step 3: Cross multiply
    65,898.36x = 90,954.63 × 51,529.77
  4. Step 4: Simplify right side
    65,898.36x = 4,686,871,164.34
  5. Step 5: Solve for x
    x = 4,686,871,164.34/65,898.36
  6. Step 6: Final answer
    x = 71,122.73

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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.