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Finding the Fourth Proportional to 65,259.92, 97,904.40 and 20,889.32

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Solution

The fourth proportional to 65,259.92, 97,904.40 and 20,889.32 is: 31,338.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,259.92 : 97,904.40 = 20,889.32 : x
  2. Step 2: Convert to fraction form
    65,259.92/97,904.40 = 20,889.32/x
  3. Step 3: Cross multiply
    65,259.92x = 97,904.40 × 20,889.32
  4. Step 4: Simplify right side
    65,259.92x = 2,045,156,341.01
  5. Step 5: Solve for x
    x = 2,045,156,341.01/65,259.92
  6. Step 6: Final answer
    x = 31,338.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.