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Finding the Fourth Proportional to 138,575.94, 191,235.29 and 74,913.75

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Solution

The fourth proportional to 138,575.94, 191,235.29 and 74,913.75 is: 103,381.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,575.94 : 191,235.29 = 74,913.75 : x
  2. Step 2: Convert to fraction form
    138,575.94/191,235.29 = 74,913.75/x
  3. Step 3: Cross multiply
    138,575.94x = 191,235.29 × 74,913.75
  4. Step 4: Simplify right side
    138,575.94x = 14,326,152,331.67
  5. Step 5: Solve for x
    x = 14,326,152,331.67/138,575.94
  6. Step 6: Final answer
    x = 103,381.24

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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.