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Finding the Fourth Proportional to 139,608.70, 209,518.30 and 102,264.46

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Solution

The fourth proportional to 139,608.70, 209,518.30 and 102,264.46 is: 153,473.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,608.70 : 209,518.30 = 102,264.46 : x
  2. Step 2: Convert to fraction form
    139,608.70/209,518.30 = 102,264.46/x
  3. Step 3: Cross multiply
    139,608.70x = 209,518.30 × 102,264.46
  4. Step 4: Simplify right side
    139,608.70x = 21,426,275,809.62
  5. Step 5: Solve for x
    x = 21,426,275,809.62/139,608.70
  6. Step 6: Final answer
    x = 153,473.79

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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.