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Finding the Fourth Proportional to 65,509.28, 90,406.50 and 37,220.84

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Solution

The fourth proportional to 65,509.28, 90,406.50 and 37,220.84 is: 51,366.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,509.28 : 90,406.50 = 37,220.84 : x
  2. Step 2: Convert to fraction form
    65,509.28/90,406.50 = 37,220.84/x
  3. Step 3: Cross multiply
    65,509.28x = 90,406.50 × 37,220.84
  4. Step 4: Simplify right side
    65,509.28x = 3,365,005,871.46
  5. Step 5: Solve for x
    x = 3,365,005,871.46/65,509.28
  6. Step 6: Final answer
    x = 51,366.86

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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.