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Finding the Fourth Proportional to 139,857.40, 209,374.62 and 92,384.92

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Solution

The fourth proportional to 139,857.40, 209,374.62 and 92,384.92 is: 138,305.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,857.40 : 209,374.62 = 92,384.92 : x
  2. Step 2: Convert to fraction form
    139,857.40/209,374.62 = 92,384.92/x
  3. Step 3: Cross multiply
    139,857.40x = 209,374.62 × 92,384.92
  4. Step 4: Simplify right side
    139,857.40x = 19,343,057,518.73
  5. Step 5: Solve for x
    x = 19,343,057,518.73/139,857.40
  6. Step 6: Final answer
    x = 138,305.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.