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Finding the Fourth Proportional to 210,715.65, 290,731.56 and 120,069.69

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Solution

The fourth proportional to 210,715.65, 290,731.56 and 120,069.69 is: 165,664.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,715.65 : 290,731.56 = 120,069.69 : x
  2. Step 2: Convert to fraction form
    210,715.65/290,731.56 = 120,069.69/x
  3. Step 3: Cross multiply
    210,715.65x = 290,731.56 × 120,069.69
  4. Step 4: Simplify right side
    210,715.65x = 34,908,048,282.42
  5. Step 5: Solve for x
    x = 34,908,048,282.42/210,715.65
  6. Step 6: Final answer
    x = 165,664.24

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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.