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Finding the Fourth Proportional to 139,794.98, 209,485.10 and 102,677.54

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Solution

The fourth proportional to 139,794.98, 209,485.10 and 102,677.54 is: 153,864.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,794.98 : 209,485.10 = 102,677.54 : x
  2. Step 2: Convert to fraction form
    139,794.98/209,485.10 = 102,677.54/x
  3. Step 3: Cross multiply
    139,794.98x = 209,485.10 × 102,677.54
  4. Step 4: Simplify right side
    139,794.98x = 21,509,413,943.92
  5. Step 5: Solve for x
    x = 21,509,413,943.92/139,794.98
  6. Step 6: Final answer
    x = 153,864.00

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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.