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Finding the Fourth Proportional to 145,071.78, 200,400.89 and 137,977.85

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Solution

The fourth proportional to 145,071.78, 200,400.89 and 137,977.85 is: 190,601.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,071.78 : 200,400.89 = 137,977.85 : x
  2. Step 2: Convert to fraction form
    145,071.78/200,400.89 = 137,977.85/x
  3. Step 3: Cross multiply
    145,071.78x = 200,400.89 × 137,977.85
  4. Step 4: Simplify right side
    145,071.78x = 27,650,882,248.39
  5. Step 5: Solve for x
    x = 27,650,882,248.39/145,071.78
  6. Step 6: Final answer
    x = 190,601.39

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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.