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Finding the Fourth Proportional to 134,640.84, 185,793.44 and 78,055.86

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Solution

The fourth proportional to 134,640.84, 185,793.44 and 78,055.86 is: 107,710.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,640.84 : 185,793.44 = 78,055.86 : x
  2. Step 2: Convert to fraction form
    134,640.84/185,793.44 = 78,055.86/x
  3. Step 3: Cross multiply
    134,640.84x = 185,793.44 × 78,055.86
  4. Step 4: Simplify right side
    134,640.84x = 14,502,266,351.28
  5. Step 5: Solve for x
    x = 14,502,266,351.28/134,640.84
  6. Step 6: Final answer
    x = 107,710.75

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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.