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Finding the Fourth Proportional to 152,115.14, 209,919.33 and 85,047.14

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Solution

The fourth proportional to 152,115.14, 209,919.33 and 85,047.14 is: 117,365.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,115.14 : 209,919.33 = 85,047.14 : x
  2. Step 2: Convert to fraction form
    152,115.14/209,919.33 = 85,047.14/x
  3. Step 3: Cross multiply
    152,115.14x = 209,919.33 × 85,047.14
  4. Step 4: Simplify right side
    152,115.14x = 17,853,038,647.22
  5. Step 5: Solve for x
    x = 17,853,038,647.22/152,115.14
  6. Step 6: Final answer
    x = 117,365.30

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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.