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Finding the Fourth Proportional to 97,818.70, 146,728.05 and 78,135.70

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Solution

The fourth proportional to 97,818.70, 146,728.05 and 78,135.70 is: 117,203.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,818.70 : 146,728.05 = 78,135.70 : x
  2. Step 2: Convert to fraction form
    97,818.70/146,728.05 = 78,135.70/x
  3. Step 3: Cross multiply
    97,818.70x = 146,728.05 × 78,135.70
  4. Step 4: Simplify right side
    97,818.70x = 11,464,698,896.39
  5. Step 5: Solve for x
    x = 11,464,698,896.39/97,818.70
  6. Step 6: Final answer
    x = 117,203.55

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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.