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Finding the Fourth Proportional to 138,575.99, 191,235.40 and 77,324.77

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Solution

The fourth proportional to 138,575.99, 191,235.40 and 77,324.77 is: 106,708.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,575.99 : 191,235.40 = 77,324.77 : x
  2. Step 2: Convert to fraction form
    138,575.99/191,235.40 = 77,324.77/x
  3. Step 3: Cross multiply
    138,575.99x = 191,235.40 × 77,324.77
  4. Step 4: Simplify right side
    138,575.99x = 14,787,232,649.46
  5. Step 5: Solve for x
    x = 14,787,232,649.46/138,575.99
  6. Step 6: Final answer
    x = 106,708.47

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1.5x scale

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.