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Finding the Fourth Proportional to 210,364.31, 290,302.71 and 114,871.10

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Solution

The fourth proportional to 210,364.31, 290,302.71 and 114,871.10 is: 158,522.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,364.31 : 290,302.71 = 114,871.10 : x
  2. Step 2: Convert to fraction form
    210,364.31/290,302.71 = 114,871.10/x
  3. Step 3: Cross multiply
    210,364.31x = 290,302.71 × 114,871.10
  4. Step 4: Simplify right side
    210,364.31x = 33,347,391,630.68
  5. Step 5: Solve for x
    x = 33,347,391,630.68/210,364.31
  6. Step 6: Final answer
    x = 158,522.10

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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.