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Finding the Fourth Proportional to 137,564.69, 189,758.64 and 86,496.49

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Solution

The fourth proportional to 137,564.69, 189,758.64 and 86,496.49 is: 119,314.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,564.69 : 189,758.64 = 86,496.49 : x
  2. Step 2: Convert to fraction form
    137,564.69/189,758.64 = 86,496.49/x
  3. Step 3: Cross multiply
    137,564.69x = 189,758.64 × 86,496.49
  4. Step 4: Simplify right side
    137,564.69x = 16,413,456,307.17
  5. Step 5: Solve for x
    x = 16,413,456,307.17/137,564.69
  6. Step 6: Final answer
    x = 119,314.46

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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.