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Finding the Fourth Proportional to 123,290.76, 184,994.63 and 85,398.29

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Solution

The fourth proportional to 123,290.76, 184,994.63 and 85,398.29 is: 128,137.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,290.76 : 184,994.63 = 85,398.29 : x
  2. Step 2: Convert to fraction form
    123,290.76/184,994.63 = 85,398.29/x
  3. Step 3: Cross multiply
    123,290.76x = 184,994.63 × 85,398.29
  4. Step 4: Simplify right side
    123,290.76x = 15,798,223,709.22
  5. Step 5: Solve for x
    x = 15,798,223,709.22/123,290.76
  6. Step 6: Final answer
    x = 128,137.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.