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Finding the Fourth Proportional to 137,646.10, 189,960.78 and 77,221

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Solution

The fourth proportional to 137,646.10, 189,960.78 and 77,221 is: 106,570.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,646.10 : 189,960.78 = 77,221 : x
  2. Step 2: Convert to fraction form
    137,646.10/189,960.78 = 77,221/x
  3. Step 3: Cross multiply
    137,646.10x = 189,960.78 × 77,221
  4. Step 4: Simplify right side
    137,646.10x = 14,668,961,392.38
  5. Step 5: Solve for x
    x = 14,668,961,392.38/137,646.10
  6. Step 6: Final answer
    x = 106,570.12

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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.