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Finding the Fourth Proportional to 257,048.37, 354,726.68 and 143,871.12

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Solution

The fourth proportional to 257,048.37, 354,726.68 and 143,871.12 is: 198,542.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,048.37 : 354,726.68 = 143,871.12 : x
  2. Step 2: Convert to fraction form
    257,048.37/354,726.68 = 143,871.12/x
  3. Step 3: Cross multiply
    257,048.37x = 354,726.68 × 143,871.12
  4. Step 4: Simplify right side
    257,048.37x = 51,034,924,026.13
  5. Step 5: Solve for x
    x = 51,034,924,026.13/257,048.37
  6. Step 6: Final answer
    x = 198,542.10

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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.