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Finding the Fourth Proportional to 152,083.20, 209,867.04 and 85,015.20

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Solution

The fourth proportional to 152,083.20, 209,867.04 and 85,015.20 is: 117,316.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,083.20 : 209,867.04 = 85,015.20 : x
  2. Step 2: Convert to fraction form
    152,083.20/209,867.04 = 85,015.20/x
  3. Step 3: Cross multiply
    152,083.20x = 209,867.04 × 85,015.20
  4. Step 4: Simplify right side
    152,083.20x = 17,841,888,379.01
  5. Step 5: Solve for x
    x = 17,841,888,379.01/152,083.20
  6. Step 6: Final answer
    x = 117,316.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.