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Finding the Fourth Proportional to 210,172.65, 314,912.70 and 121,271.10

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Solution

The fourth proportional to 210,172.65, 314,912.70 and 121,271.10 is: 181,706.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,172.65 : 314,912.70 = 121,271.10 : x
  2. Step 2: Convert to fraction form
    210,172.65/314,912.70 = 121,271.10/x
  3. Step 3: Cross multiply
    210,172.65x = 314,912.70 × 121,271.10
  4. Step 4: Simplify right side
    210,172.65x = 38,189,809,532.97
  5. Step 5: Solve for x
    x = 38,189,809,532.97/210,172.65
  6. Step 6: Final answer
    x = 181,706.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.