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Finding the Fourth Proportional to 65,679, 90,637.02 and 35,871

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Solution

The fourth proportional to 65,679, 90,637.02 and 35,871 is: 49,501.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,679 : 90,637.02 = 35,871 : x
  2. Step 2: Convert to fraction form
    65,679/90,637.02 = 35,871/x
  3. Step 3: Cross multiply
    65,679x = 90,637.02 × 35,871
  4. Step 4: Simplify right side
    65,679x = 3,251,240,544.42
  5. Step 5: Solve for x
    x = 3,251,240,544.42/65,679
  6. Step 6: Final answer
    x = 49,501.98

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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.