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Finding the Fourth Proportional to 139,097.86, 191,955.12 and 75,435.65

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Solution

The fourth proportional to 139,097.86, 191,955.12 and 75,435.65 is: 104,101.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,097.86 : 191,955.12 = 75,435.65 : x
  2. Step 2: Convert to fraction form
    139,097.86/191,955.12 = 75,435.65/x
  3. Step 3: Cross multiply
    139,097.86x = 191,955.12 × 75,435.65
  4. Step 4: Simplify right side
    139,097.86x = 14,480,259,804.95
  5. Step 5: Solve for x
    x = 14,480,259,804.95/139,097.86
  6. Step 6: Final answer
    x = 104,101.24

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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.