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Finding the Fourth Proportional to 137,658.42, 189,969.93 and 77,230.35

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Solution

The fourth proportional to 137,658.42, 189,969.93 and 77,230.35 is: 106,578.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,658.42 : 189,969.93 = 77,230.35 : x
  2. Step 2: Convert to fraction form
    137,658.42/189,969.93 = 77,230.35/x
  3. Step 3: Cross multiply
    137,658.42x = 189,969.93 × 77,230.35
  4. Step 4: Simplify right side
    137,658.42x = 14,671,444,183.38
  5. Step 5: Solve for x
    x = 14,671,444,183.38/137,658.42
  6. Step 6: Final answer
    x = 106,578.62

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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.