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Finding the Fourth Proportional to 145,618.98, 200,992.17 and 89,077.74

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Solution

The fourth proportional to 145,618.98, 200,992.17 and 89,077.74 is: 122,950.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,618.98 : 200,992.17 = 89,077.74 : x
  2. Step 2: Convert to fraction form
    145,618.98/200,992.17 = 89,077.74/x
  3. Step 3: Cross multiply
    145,618.98x = 200,992.17 × 89,077.74
  4. Step 4: Simplify right side
    145,618.98x = 17,903,928,261.30
  5. Step 5: Solve for x
    x = 17,903,928,261.30/145,618.98
  6. Step 6: Final answer
    x = 122,950.51

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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.