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Finding the Fourth Proportional to 65,807.28, 90,814.04 and 35,592.60

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Solution

The fourth proportional to 65,807.28, 90,814.04 and 35,592.60 is: 49,117.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,807.28 : 90,814.04 = 35,592.60 : x
  2. Step 2: Convert to fraction form
    65,807.28/90,814.04 = 35,592.60/x
  3. Step 3: Cross multiply
    65,807.28x = 90,814.04 × 35,592.60
  4. Step 4: Simplify right side
    65,807.28x = 3,232,307,800.10
  5. Step 5: Solve for x
    x = 3,232,307,800.10/65,807.28
  6. Step 6: Final answer
    x = 49,117.78

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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.