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Finding the Fourth Proportional to 209,703.12, 314,552.76 and 85,014.48

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Solution

The fourth proportional to 209,703.12, 314,552.76 and 85,014.48 is: 127,520.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,703.12 : 314,552.76 = 85,014.48 : x
  2. Step 2: Convert to fraction form
    209,703.12/314,552.76 = 85,014.48/x
  3. Step 3: Cross multiply
    209,703.12x = 314,552.76 × 85,014.48
  4. Step 4: Simplify right side
    209,703.12x = 26,741,539,323.96
  5. Step 5: Solve for x
    x = 26,741,539,323.96/209,703.12
  6. Step 6: Final answer
    x = 127,520.94

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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.