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Finding the Fourth Proportional to 538,553.01, 807,827.09 and 139,159.83

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Solution

The fourth proportional to 538,553.01, 807,827.09 and 139,159.83 is: 208,739.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,553.01 : 807,827.09 = 139,159.83 : x
  2. Step 2: Convert to fraction form
    538,553.01/807,827.09 = 139,159.83/x
  3. Step 3: Cross multiply
    538,553.01x = 807,827.09 × 139,159.83
  4. Step 4: Simplify right side
    538,553.01x = 112,417,079,818.00
  5. Step 5: Solve for x
    x = 112,417,079,818.00/538,553.01
  6. Step 6: Final answer
    x = 208,739.12

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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.