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Finding the Fourth Proportional to 210,081.16, 289,918.74 and 114,591.88

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Solution

The fourth proportional to 210,081.16, 289,918.74 and 114,591.88 is: 158,140.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,081.16 : 289,918.74 = 114,591.88 : x
  2. Step 2: Convert to fraction form
    210,081.16/289,918.74 = 114,591.88/x
  3. Step 3: Cross multiply
    210,081.16x = 289,918.74 × 114,591.88
  4. Step 4: Simplify right side
    210,081.16x = 33,222,333,463.83
  5. Step 5: Solve for x
    x = 33,222,333,463.83/210,081.16
  6. Step 6: Final answer
    x = 158,140.47

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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.