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Finding the Fourth Proportional to 210,508.79, 290,498.73 and 115,013.43

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Solution

The fourth proportional to 210,508.79, 290,498.73 and 115,013.43 is: 158,716.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,508.79 : 290,498.73 = 115,013.43 : x
  2. Step 2: Convert to fraction form
    210,508.79/290,498.73 = 115,013.43/x
  3. Step 3: Cross multiply
    210,508.79x = 290,498.73 × 115,013.43
  4. Step 4: Simplify right side
    210,508.79x = 33,411,255,347.94
  5. Step 5: Solve for x
    x = 33,411,255,347.94/210,508.79
  6. Step 6: Final answer
    x = 158,716.68

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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.