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Finding the Fourth Proportional to 42,961.28, 64,416.03 and 19,264.54

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Solution

The fourth proportional to 42,961.28, 64,416.03 and 19,264.54 is: 28,885.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,961.28 : 64,416.03 = 19,264.54 : x
  2. Step 2: Convert to fraction form
    42,961.28/64,416.03 = 19,264.54/x
  3. Step 3: Cross multiply
    42,961.28x = 64,416.03 × 19,264.54
  4. Step 4: Simplify right side
    42,961.28x = 1,240,944,864.50
  5. Step 5: Solve for x
    x = 1,240,944,864.50/42,961.28
  6. Step 6: Final answer
    x = 28,885.19

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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.