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Finding the Fourth Proportional to 65,511.68, 90,378.10 and 42,811.27

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Solution

The fourth proportional to 65,511.68, 90,378.10 and 42,811.27 is: 59,061.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,511.68 : 90,378.10 = 42,811.27 : x
  2. Step 2: Convert to fraction form
    65,511.68/90,378.10 = 42,811.27/x
  3. Step 3: Cross multiply
    65,511.68x = 90,378.10 × 42,811.27
  4. Step 4: Simplify right side
    65,511.68x = 3,869,201,241.19
  5. Step 5: Solve for x
    x = 3,869,201,241.19/65,511.68
  6. Step 6: Final answer
    x = 59,061.24

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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.