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Finding the Fourth Proportional to 139,740.71, 192,842.19 and 76,078.50

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Solution

The fourth proportional to 139,740.71, 192,842.19 and 76,078.50 is: 104,988.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,740.71 : 192,842.19 = 76,078.50 : x
  2. Step 2: Convert to fraction form
    139,740.71/192,842.19 = 76,078.50/x
  3. Step 3: Cross multiply
    139,740.71x = 192,842.19 × 76,078.50
  4. Step 4: Simplify right side
    139,740.71x = 14,671,144,551.92
  5. Step 5: Solve for x
    x = 14,671,144,551.92/139,740.71
  6. Step 6: Final answer
    x = 104,988.34

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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.