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Finding the Fourth Proportional to 153,771.84, 230,456.80 and 78,828.48

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Solution

The fourth proportional to 153,771.84, 230,456.80 and 78,828.48 is: 118,139.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,771.84 : 230,456.80 = 78,828.48 : x
  2. Step 2: Convert to fraction form
    153,771.84/230,456.80 = 78,828.48/x
  3. Step 3: Cross multiply
    153,771.84x = 230,456.80 × 78,828.48
  4. Step 4: Simplify right side
    153,771.84x = 18,166,559,249.66
  5. Step 5: Solve for x
    x = 18,166,559,249.66/153,771.84
  6. Step 6: Final answer
    x = 118,139.70

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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.