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Finding the Fourth Proportional to 134,019.52, 184,947.20 and 77,430.94

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Solution

The fourth proportional to 134,019.52, 184,947.20 and 77,430.94 is: 106,854.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,019.52 : 184,947.20 = 77,430.94 : x
  2. Step 2: Convert to fraction form
    134,019.52/184,947.20 = 77,430.94/x
  3. Step 3: Cross multiply
    134,019.52x = 184,947.20 × 77,430.94
  4. Step 4: Simplify right side
    134,019.52x = 14,320,635,546.37
  5. Step 5: Solve for x
    x = 14,320,635,546.37/134,019.52
  6. Step 6: Final answer
    x = 106,854.85

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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.