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Finding the Fourth Proportional to 210,250, 315,421.08 and 78,922

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Solution

The fourth proportional to 210,250, 315,421.08 and 78,922 is: 118,400.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,250 : 315,421.08 = 78,922 : x
  2. Step 2: Convert to fraction form
    210,250/315,421.08 = 78,922/x
  3. Step 3: Cross multiply
    210,250x = 315,421.08 × 78,922
  4. Step 4: Simplify right side
    210,250x = 24,893,662,475.76
  5. Step 5: Solve for x
    x = 24,893,662,475.76/210,250
  6. Step 6: Final answer
    x = 118,400.30

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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.