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Finding the Fourth Proportional to 42,865, 64,297.50 and 19,498.12

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Solution

The fourth proportional to 42,865, 64,297.50 and 19,498.12 is: 29,247.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,865 : 64,297.50 = 19,498.12 : x
  2. Step 2: Convert to fraction form
    42,865/64,297.50 = 19,498.12/x
  3. Step 3: Cross multiply
    42,865x = 64,297.50 × 19,498.12
  4. Step 4: Simplify right side
    42,865x = 1,253,680,370.70
  5. Step 5: Solve for x
    x = 1,253,680,370.70/42,865
  6. Step 6: Final answer
    x = 29,247.18

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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.