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Finding the Fourth Proportional to 210,329.88, 314,992.01 and 121,313.52

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Solution

The fourth proportional to 210,329.88, 314,992.01 and 121,313.52 is: 181,680.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,329.88 : 314,992.01 = 121,313.52 : x
  2. Step 2: Convert to fraction form
    210,329.88/314,992.01 = 121,313.52/x
  3. Step 3: Cross multiply
    210,329.88x = 314,992.01 × 121,313.52
  4. Step 4: Simplify right side
    210,329.88x = 38,212,788,898.41
  5. Step 5: Solve for x
    x = 38,212,788,898.41/210,329.88
  6. Step 6: Final answer
    x = 181,680.27

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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.