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Finding the Fourth Proportional to 153,773.84, 230,459.80 and 78,830.48

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Solution

The fourth proportional to 153,773.84, 230,459.80 and 78,830.48 is: 118,142.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,773.84 : 230,459.80 = 78,830.48 : x
  2. Step 2: Convert to fraction form
    153,773.84/230,459.80 = 78,830.48/x
  3. Step 3: Cross multiply
    153,773.84x = 230,459.80 × 78,830.48
  4. Step 4: Simplify right side
    153,773.84x = 18,167,256,654.70
  5. Step 5: Solve for x
    x = 18,167,256,654.70/153,773.84
  6. Step 6: Final answer
    x = 118,142.70

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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.