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Finding the Fourth Proportional to 72,665.78, 100,275.55 and 42,453.90

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Solution

The fourth proportional to 72,665.78, 100,275.55 and 42,453.90 is: 58,584.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,665.78 : 100,275.55 = 42,453.90 : x
  2. Step 2: Convert to fraction form
    72,665.78/100,275.55 = 42,453.90/x
  3. Step 3: Cross multiply
    72,665.78x = 100,275.55 × 42,453.90
  4. Step 4: Simplify right side
    72,665.78x = 4,257,088,172.15
  5. Step 5: Solve for x
    x = 4,257,088,172.15/72,665.78
  6. Step 6: Final answer
    x = 58,584.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.