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Finding the Fourth Proportional to 65,965, 98,947.50 and 29,029

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Solution

The fourth proportional to 65,965, 98,947.50 and 29,029 is: 43,543.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,965 : 98,947.50 = 29,029 : x
  2. Step 2: Convert to fraction form
    65,965/98,947.50 = 29,029/x
  3. Step 3: Cross multiply
    65,965x = 98,947.50 × 29,029
  4. Step 4: Simplify right side
    65,965x = 2,872,346,977.50
  5. Step 5: Solve for x
    x = 2,872,346,977.50/65,965
  6. Step 6: Final answer
    x = 43,543.50

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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.