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Finding the Fourth Proportional to 147,470.63, 203,509.67 and 80,402.63

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Solution

The fourth proportional to 147,470.63, 203,509.67 and 80,402.63 is: 110,955.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,470.63 : 203,509.67 = 80,402.63 : x
  2. Step 2: Convert to fraction form
    147,470.63/203,509.67 = 80,402.63/x
  3. Step 3: Cross multiply
    147,470.63x = 203,509.67 × 80,402.63
  4. Step 4: Simplify right side
    147,470.63x = 16,362,711,278.87
  5. Step 5: Solve for x
    x = 16,362,711,278.87/147,470.63
  6. Step 6: Final answer
    x = 110,955.73

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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.