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Finding the Fourth Proportional to 252,031.50, 347,803.47 and 138,861.54

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Solution

The fourth proportional to 252,031.50, 347,803.47 and 138,861.54 is: 191,628.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,031.50 : 347,803.47 = 138,861.54 : x
  2. Step 2: Convert to fraction form
    252,031.50/347,803.47 = 138,861.54/x
  3. Step 3: Cross multiply
    252,031.50x = 347,803.47 × 138,861.54
  4. Step 4: Simplify right side
    252,031.50x = 48,296,525,461.54
  5. Step 5: Solve for x
    x = 48,296,525,461.54/252,031.50
  6. Step 6: Final answer
    x = 191,628.93

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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.