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Finding the Fourth Proportional to 210,304.94, 290,237.37 and 119,664.72

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Solution

The fourth proportional to 210,304.94, 290,237.37 and 119,664.72 is: 165,146.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,304.94 : 290,237.37 = 119,664.72 : x
  2. Step 2: Convert to fraction form
    210,304.94/290,237.37 = 119,664.72/x
  3. Step 3: Cross multiply
    210,304.94x = 290,237.37 × 119,664.72
  4. Step 4: Simplify right side
    210,304.94x = 34,731,173,614.59
  5. Step 5: Solve for x
    x = 34,731,173,614.59/210,304.94
  6. Step 6: Final answer
    x = 165,146.74

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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.