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Finding the Fourth Proportional to 210,693.12, 316,039.68 and 84,390.72

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Solution

The fourth proportional to 210,693.12, 316,039.68 and 84,390.72 is: 126,586.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,693.12 : 316,039.68 = 84,390.72 : x
  2. Step 2: Convert to fraction form
    210,693.12/316,039.68 = 84,390.72/x
  3. Step 3: Cross multiply
    210,693.12x = 316,039.68 × 84,390.72
  4. Step 4: Simplify right side
    210,693.12x = 26,670,816,143.77
  5. Step 5: Solve for x
    x = 26,670,816,143.77/210,693.12
  6. Step 6: Final answer
    x = 126,586.08

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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.