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Finding the Fourth Proportional to 65,322.41, 90,164.10 and 42,664.86

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Solution

The fourth proportional to 65,322.41, 90,164.10 and 42,664.86 is: 58,890.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,322.41 : 90,164.10 = 42,664.86 : x
  2. Step 2: Convert to fraction form
    65,322.41/90,164.10 = 42,664.86/x
  3. Step 3: Cross multiply
    65,322.41x = 90,164.10 × 42,664.86
  4. Step 4: Simplify right side
    65,322.41x = 3,846,838,703.53
  5. Step 5: Solve for x
    x = 3,846,838,703.53/65,322.41
  6. Step 6: Final answer
    x = 58,890.03

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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.