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Finding the Fourth Proportional to 210,497.00, 290,486.14 and 119,853

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Solution

The fourth proportional to 210,497.00, 290,486.14 and 119,853 is: 165,397.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,497.00 : 290,486.14 = 119,853 : x
  2. Step 2: Convert to fraction form
    210,497.00/290,486.14 = 119,853/x
  3. Step 3: Cross multiply
    210,497.00x = 290,486.14 × 119,853
  4. Step 4: Simplify right side
    210,497.00x = 34,815,635,037.79
  5. Step 5: Solve for x
    x = 34,815,635,037.79/210,497.00
  6. Step 6: Final answer
    x = 165,397.30

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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.