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Finding the Fourth Proportional to 64,646.56, 89,263.92 and 41,996.80

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Solution

The fourth proportional to 64,646.56, 89,263.92 and 41,996.80 is: 57,989.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,646.56 : 89,263.92 = 41,996.80 : x
  2. Step 2: Convert to fraction form
    64,646.56/89,263.92 = 41,996.80/x
  3. Step 3: Cross multiply
    64,646.56x = 89,263.92 × 41,996.80
  4. Step 4: Simplify right side
    64,646.56x = 3,748,798,995.46
  5. Step 5: Solve for x
    x = 3,748,798,995.46/64,646.56
  6. Step 6: Final answer
    x = 57,989.15

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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.