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Finding the Fourth Proportional to 133,987.92, 184,919.73 and 77,399.30

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Solution

The fourth proportional to 133,987.92, 184,919.73 and 77,399.30 is: 106,820.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,987.92 : 184,919.73 = 77,399.30 : x
  2. Step 2: Convert to fraction form
    133,987.92/184,919.73 = 77,399.30/x
  3. Step 3: Cross multiply
    133,987.92x = 184,919.73 × 77,399.30
  4. Step 4: Simplify right side
    133,987.92x = 14,312,657,443.12
  5. Step 5: Solve for x
    x = 14,312,657,443.12/133,987.92
  6. Step 6: Final answer
    x = 106,820.50

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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.