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Finding the Fourth Proportional to 137,706.40, 189,964.56 and 89,987.68

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Solution

The fourth proportional to 137,706.40, 189,964.56 and 89,987.68 is: 124,137.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,706.40 : 189,964.56 = 89,987.68 : x
  2. Step 2: Convert to fraction form
    137,706.40/189,964.56 = 89,987.68/x
  3. Step 3: Cross multiply
    137,706.40x = 189,964.56 × 89,987.68
  4. Step 4: Simplify right side
    137,706.40x = 17,094,470,036.62
  5. Step 5: Solve for x
    x = 17,094,470,036.62/137,706.40
  6. Step 6: Final answer
    x = 124,137.08

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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.