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Finding the Fourth Proportional to 42,893.28, 64,323.72 and 20,699.28

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Solution

The fourth proportional to 42,893.28, 64,323.72 and 20,699.28 is: 31,041.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,893.28 : 64,323.72 = 20,699.28 : x
  2. Step 2: Convert to fraction form
    42,893.28/64,323.72 = 20,699.28/x
  3. Step 3: Cross multiply
    42,893.28x = 64,323.72 × 20,699.28
  4. Step 4: Simplify right side
    42,893.28x = 1,331,454,690.92
  5. Step 5: Solve for x
    x = 1,331,454,690.92/42,893.28
  6. Step 6: Final answer
    x = 31,041.10

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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.