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Finding the Fourth Proportional to 53,890.32, 80,728.32 and 42,148.56

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Solution

The fourth proportional to 53,890.32, 80,728.32 and 42,148.56 is: 63,139.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,890.32 : 80,728.32 = 42,148.56 : x
  2. Step 2: Convert to fraction form
    53,890.32/80,728.32 = 42,148.56/x
  3. Step 3: Cross multiply
    53,890.32x = 80,728.32 × 42,148.56
  4. Step 4: Simplify right side
    53,890.32x = 3,402,582,439.22
  5. Step 5: Solve for x
    x = 3,402,582,439.22/53,890.32
  6. Step 6: Final answer
    x = 63,139.03

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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.