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Finding the Fourth Proportional to 64,972.96, 89,657.68 and 36,681.44

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Solution

The fourth proportional to 64,972.96, 89,657.68 and 36,681.44 is: 50,617.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,972.96 : 89,657.68 = 36,681.44 : x
  2. Step 2: Convert to fraction form
    64,972.96/89,657.68 = 36,681.44/x
  3. Step 3: Cross multiply
    64,972.96x = 89,657.68 × 36,681.44
  4. Step 4: Simplify right side
    64,972.96x = 3,288,772,809.46
  5. Step 5: Solve for x
    x = 3,288,772,809.46/64,972.96
  6. Step 6: Final answer
    x = 50,617.56

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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.