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Finding the Fourth Proportional to 210,458.35, 315,685.36 and 121,655.35

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Solution

The fourth proportional to 210,458.35, 315,685.36 and 121,655.35 is: 182,481.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,458.35 : 315,685.36 = 121,655.35 : x
  2. Step 2: Convert to fraction form
    210,458.35/315,685.36 = 121,655.35/x
  3. Step 3: Cross multiply
    210,458.35x = 315,685.36 × 121,655.35
  4. Step 4: Simplify right side
    210,458.35x = 38,404,812,960.68
  5. Step 5: Solve for x
    x = 38,404,812,960.68/210,458.35
  6. Step 6: Final answer
    x = 182,481.77

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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.