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Finding the Fourth Proportional to 210,051.12, 315,207.90 and 85,392.12

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Solution

The fourth proportional to 210,051.12, 315,207.90 and 85,392.12 is: 128,141.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,051.12 : 315,207.90 = 85,392.12 : x
  2. Step 2: Convert to fraction form
    210,051.12/315,207.90 = 85,392.12/x
  3. Step 3: Cross multiply
    210,051.12x = 315,207.90 × 85,392.12
  4. Step 4: Simplify right side
    210,051.12x = 26,916,270,821.75
  5. Step 5: Solve for x
    x = 26,916,270,821.75/210,051.12
  6. Step 6: Final answer
    x = 128,141.52

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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.