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Finding the Fourth Proportional to 268,505.48, 402,701.47 and 78,914.41

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Solution

The fourth proportional to 268,505.48, 402,701.47 and 78,914.41 is: 118,354.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,505.48 : 402,701.47 = 78,914.41 : x
  2. Step 2: Convert to fraction form
    268,505.48/402,701.47 = 78,914.41/x
  3. Step 3: Cross multiply
    268,505.48x = 402,701.47 × 78,914.41
  4. Step 4: Simplify right side
    268,505.48x = 31,778,948,911.18
  5. Step 5: Solve for x
    x = 31,778,948,911.18/268,505.48
  6. Step 6: Final answer
    x = 118,354.94

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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.