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Finding the Fourth Proportional to 65,509.85, 90,406.80 and 36,838.53

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Solution

The fourth proportional to 65,509.85, 90,406.80 and 36,838.53 is: 50,838.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,509.85 : 90,406.80 = 36,838.53 : x
  2. Step 2: Convert to fraction form
    65,509.85/90,406.80 = 36,838.53/x
  3. Step 3: Cross multiply
    65,509.85x = 90,406.80 × 36,838.53
  4. Step 4: Simplify right side
    65,509.85x = 3,330,453,764.66
  5. Step 5: Solve for x
    x = 3,330,453,764.66/65,509.85
  6. Step 6: Final answer
    x = 50,838.98

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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.