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Finding the Fourth Proportional to 72,939.96, 109,267.11 and 65,005.74

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Solution

The fourth proportional to 72,939.96, 109,267.11 and 65,005.74 is: 97,381.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,939.96 : 109,267.11 = 65,005.74 : x
  2. Step 2: Convert to fraction form
    72,939.96/109,267.11 = 65,005.74/x
  3. Step 3: Cross multiply
    72,939.96x = 109,267.11 × 65,005.74
  4. Step 4: Simplify right side
    72,939.96x = 7,102,989,343.21
  5. Step 5: Solve for x
    x = 7,102,989,343.21/72,939.96
  6. Step 6: Final answer
    x = 97,381.32

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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.