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Finding the Fourth Proportional to 65,118.87, 97,678.29 and 30,039.39

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Solution

The fourth proportional to 65,118.87, 97,678.29 and 30,039.39 is: 45,059.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,118.87 : 97,678.29 = 30,039.39 : x
  2. Step 2: Convert to fraction form
    65,118.87/97,678.29 = 30,039.39/x
  3. Step 3: Cross multiply
    65,118.87x = 97,678.29 × 30,039.39
  4. Step 4: Simplify right side
    65,118.87x = 2,934,196,247.84
  5. Step 5: Solve for x
    x = 2,934,196,247.84/65,118.87
  6. Step 6: Final answer
    x = 45,059.08

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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.