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Finding the Fourth Proportional to 210,904.36, 316,039.42 and 84,419.21

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Solution

The fourth proportional to 210,904.36, 316,039.42 and 84,419.21 is: 126,501.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,904.36 : 316,039.42 = 84,419.21 : x
  2. Step 2: Convert to fraction form
    210,904.36/316,039.42 = 84,419.21/x
  3. Step 3: Cross multiply
    210,904.36x = 316,039.42 × 84,419.21
  4. Step 4: Simplify right side
    210,904.36x = 26,679,799,060.88
  5. Step 5: Solve for x
    x = 26,679,799,060.88/210,904.36
  6. Step 6: Final answer
    x = 126,501.89

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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.