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Finding the Fourth Proportional to 137,135.11, 189,263.99 and 76,709.11

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Solution

The fourth proportional to 137,135.11, 189,263.99 and 76,709.11 is: 105,868.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,135.11 : 189,263.99 = 76,709.11 : x
  2. Step 2: Convert to fraction form
    137,135.11/189,263.99 = 76,709.11/x
  3. Step 3: Cross multiply
    137,135.11x = 189,263.99 × 76,709.11
  4. Step 4: Simplify right side
    137,135.11x = 14,518,272,227.95
  5. Step 5: Solve for x
    x = 14,518,272,227.95/137,135.11
  6. Step 6: Final answer
    x = 105,868.38

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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.