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Finding the Fourth Proportional to 64,651.76, 89,219.87 and 35,972.63

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Solution

The fourth proportional to 64,651.76, 89,219.87 and 35,972.63 is: 49,642.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,651.76 : 89,219.87 = 35,972.63 : x
  2. Step 2: Convert to fraction form
    64,651.76/89,219.87 = 35,972.63/x
  3. Step 3: Cross multiply
    64,651.76x = 89,219.87 × 35,972.63
  4. Step 4: Simplify right side
    64,651.76x = 3,209,472,746.20
  5. Step 5: Solve for x
    x = 3,209,472,746.20/64,651.76
  6. Step 6: Final answer
    x = 49,642.47

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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.