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Finding the Fourth Proportional to 210,008.07, 289,817.11 and 114,520

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Solution

The fourth proportional to 210,008.07, 289,817.11 and 114,520 is: 158,040.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,008.07 : 289,817.11 = 114,520 : x
  2. Step 2: Convert to fraction form
    210,008.07/289,817.11 = 114,520/x
  3. Step 3: Cross multiply
    210,008.07x = 289,817.11 × 114,520
  4. Step 4: Simplify right side
    210,008.07x = 33,189,855,437.20
  5. Step 5: Solve for x
    x = 33,189,855,437.20/210,008.07
  6. Step 6: Final answer
    x = 158,040.86

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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.