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Finding the Fourth Proportional to 210,356.46, 290,314.80 and 129,781.98

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Solution

The fourth proportional to 210,356.46, 290,314.80 and 129,781.98 is: 179,113.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,356.46 : 290,314.80 = 129,781.98 : x
  2. Step 2: Convert to fraction form
    210,356.46/290,314.80 = 129,781.98/x
  3. Step 3: Cross multiply
    210,356.46x = 290,314.80 × 129,781.98
  4. Step 4: Simplify right side
    210,356.46x = 37,677,629,567.30
  5. Step 5: Solve for x
    x = 37,677,629,567.30/210,356.46
  6. Step 6: Final answer
    x = 179,113.25

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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.