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Finding the Fourth Proportional to 139,732.54, 192,830.85 and 76,070.32

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Solution

The fourth proportional to 139,732.54, 192,830.85 and 76,070.32 is: 104,977.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,732.54 : 192,830.85 = 76,070.32 : x
  2. Step 2: Convert to fraction form
    139,732.54/192,830.85 = 76,070.32/x
  3. Step 3: Cross multiply
    139,732.54x = 192,830.85 × 76,070.32
  4. Step 4: Simplify right side
    139,732.54x = 14,668,703,983.29
  5. Step 5: Solve for x
    x = 14,668,703,983.29/139,732.54
  6. Step 6: Final answer
    x = 104,977.01

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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.