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Finding the Fourth Proportional to 43,389.28, 64,905.72 and 34,641.28

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Solution

The fourth proportional to 43,389.28, 64,905.72 and 34,641.28 is: 51,819.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,389.28 : 64,905.72 = 34,641.28 : x
  2. Step 2: Convert to fraction form
    43,389.28/64,905.72 = 34,641.28/x
  3. Step 3: Cross multiply
    43,389.28x = 64,905.72 × 34,641.28
  4. Step 4: Simplify right side
    43,389.28x = 2,248,417,220.12
  5. Step 5: Solve for x
    x = 2,248,417,220.12/43,389.28
  6. Step 6: Final answer
    x = 51,819.65

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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.