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Finding the Fourth Proportional to 138,646.77, 207,984.74 and 45,159.81

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Solution

The fourth proportional to 138,646.77, 207,984.74 and 45,159.81 is: 67,744.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,646.77 : 207,984.74 = 45,159.81 : x
  2. Step 2: Convert to fraction form
    138,646.77/207,984.74 = 45,159.81/x
  3. Step 3: Cross multiply
    138,646.77x = 207,984.74 × 45,159.81
  4. Step 4: Simplify right side
    138,646.77x = 9,392,551,115.50
  5. Step 5: Solve for x
    x = 9,392,551,115.50/138,646.77
  6. Step 6: Final answer
    x = 67,744.46

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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.