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Finding the Fourth Proportional to 262,081.76, 392,889.92 and 102,120.64

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Solution

The fourth proportional to 262,081.76, 392,889.92 and 102,120.64 is: 153,090.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,081.76 : 392,889.92 = 102,120.64 : x
  2. Step 2: Convert to fraction form
    262,081.76/392,889.92 = 102,120.64/x
  3. Step 3: Cross multiply
    262,081.76x = 392,889.92 × 102,120.64
  4. Step 4: Simplify right side
    262,081.76x = 40,122,170,079.95
  5. Step 5: Solve for x
    x = 40,122,170,079.95/262,081.76
  6. Step 6: Final answer
    x = 153,090.28

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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.