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Finding the Fourth Proportional to 210,012.96, 314,663.04 and 126,732

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Solution

The fourth proportional to 210,012.96, 314,663.04 and 126,732 is: 189,882.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,012.96 : 314,663.04 = 126,732 : x
  2. Step 2: Convert to fraction form
    210,012.96/314,663.04 = 126,732/x
  3. Step 3: Cross multiply
    210,012.96x = 314,663.04 × 126,732
  4. Step 4: Simplify right side
    210,012.96x = 39,877,876,385.28
  5. Step 5: Solve for x
    x = 39,877,876,385.28/210,012.96
  6. Step 6: Final answer
    x = 189,882.93

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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.