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Finding the Fourth Proportional to 137,388.90, 189,410.52 and 117,459.86

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Solution

The fourth proportional to 137,388.90, 189,410.52 and 117,459.86 is: 161,935.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,388.90 : 189,410.52 = 117,459.86 : x
  2. Step 2: Convert to fraction form
    137,388.90/189,410.52 = 117,459.86/x
  3. Step 3: Cross multiply
    137,388.90x = 189,410.52 × 117,459.86
  4. Step 4: Simplify right side
    137,388.90x = 22,248,133,161.73
  5. Step 5: Solve for x
    x = 22,248,133,161.73/137,388.90
  6. Step 6: Final answer
    x = 161,935.45

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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.