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Finding the Fourth Proportional to 145,035, 200,148.36 and 88,458.12

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Solution

The fourth proportional to 145,035, 200,148.36 and 88,458.12 is: 122,072.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,035 : 200,148.36 = 88,458.12 : x
  2. Step 2: Convert to fraction form
    145,035/200,148.36 = 88,458.12/x
  3. Step 3: Cross multiply
    145,035x = 200,148.36 × 88,458.12
  4. Step 4: Simplify right side
    145,035x = 17,704,747,646.68
  5. Step 5: Solve for x
    x = 17,704,747,646.68/145,035
  6. Step 6: Final answer
    x = 122,072.24

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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.