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Finding the Fourth Proportional to 210,154.65, 314,885.70 and 121,253.10

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Solution

The fourth proportional to 210,154.65, 314,885.70 and 121,253.10 is: 181,679.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,154.65 : 314,885.70 = 121,253.10 : x
  2. Step 2: Convert to fraction form
    210,154.65/314,885.70 = 121,253.10/x
  3. Step 3: Cross multiply
    210,154.65x = 314,885.70 × 121,253.10
  4. Step 4: Simplify right side
    210,154.65x = 38,180,867,270.67
  5. Step 5: Solve for x
    x = 38,180,867,270.67/210,154.65
  6. Step 6: Final answer
    x = 181,679.86

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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.