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Finding the Fourth Proportional to 210,697.65, 290,744.16 and 120,050.16

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Solution

The fourth proportional to 210,697.65, 290,744.16 and 120,050.16 is: 165,658.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,697.65 : 290,744.16 = 120,050.16 : x
  2. Step 2: Convert to fraction form
    210,697.65/290,744.16 = 120,050.16/x
  3. Step 3: Cross multiply
    210,697.65x = 290,744.16 × 120,050.16
  4. Step 4: Simplify right side
    210,697.65x = 34,903,882,927.07
  5. Step 5: Solve for x
    x = 34,903,882,927.07/210,697.65
  6. Step 6: Final answer
    x = 165,658.62

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1.5x scale

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.