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Finding the Fourth Proportional to 145,011, 200,115.24 and 88,434.12

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Solution

The fourth proportional to 145,011, 200,115.24 and 88,434.12 is: 122,039.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,011 : 200,115.24 = 88,434.12 : x
  2. Step 2: Convert to fraction form
    145,011/200,115.24 = 88,434.12/x
  3. Step 3: Cross multiply
    145,011x = 200,115.24 × 88,434.12
  4. Step 4: Simplify right side
    145,011x = 17,697,015,147.99
  5. Step 5: Solve for x
    x = 17,697,015,147.99/145,011
  6. Step 6: Final answer
    x = 122,039.12

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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.