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Finding the Fourth Proportional to 137,605.95, 189,815.56 and 86,537.68

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Solution

The fourth proportional to 137,605.95, 189,815.56 and 86,537.68 is: 119,371.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,605.95 : 189,815.56 = 86,537.68 : x
  2. Step 2: Convert to fraction form
    137,605.95/189,815.56 = 86,537.68/x
  3. Step 3: Cross multiply
    137,605.95x = 189,815.56 × 86,537.68
  4. Step 4: Simplify right side
    137,605.95x = 16,426,196,808.53
  5. Step 5: Solve for x
    x = 16,426,196,808.53/137,605.95
  6. Step 6: Final answer
    x = 119,371.27

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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.