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Finding the Fourth Proportional to 139,412.46, 192,390.94 and 75,751.32

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Solution

The fourth proportional to 139,412.46, 192,390.94 and 75,751.32 is: 104,537.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,412.46 : 192,390.94 = 75,751.32 : x
  2. Step 2: Convert to fraction form
    139,412.46/192,390.94 = 75,751.32/x
  3. Step 3: Cross multiply
    139,412.46x = 192,390.94 × 75,751.32
  4. Step 4: Simplify right side
    139,412.46x = 14,573,866,509.71
  5. Step 5: Solve for x
    x = 14,573,866,509.71/139,412.46
  6. Step 6: Final answer
    x = 104,537.77

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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.