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Finding the Fourth Proportional to 65,298.56, 97,947.82 and 30,219.08

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Solution

The fourth proportional to 65,298.56, 97,947.82 and 30,219.08 is: 45,328.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,298.56 : 97,947.82 = 30,219.08 : x
  2. Step 2: Convert to fraction form
    65,298.56/97,947.82 = 30,219.08/x
  3. Step 3: Cross multiply
    65,298.56x = 97,947.82 × 30,219.08
  4. Step 4: Simplify right side
    65,298.56x = 2,959,893,008.41
  5. Step 5: Solve for x
    x = 2,959,893,008.41/65,298.56
  6. Step 6: Final answer
    x = 45,328.61

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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.