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Finding the Fourth Proportional to 97,706.80, 146,583.32 and 77,791.60

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Solution

The fourth proportional to 97,706.80, 146,583.32 and 77,791.60 is: 116,705.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,706.80 : 146,583.32 = 77,791.60 : x
  2. Step 2: Convert to fraction form
    97,706.80/146,583.32 = 77,791.60/x
  3. Step 3: Cross multiply
    97,706.80x = 146,583.32 × 77,791.60
  4. Step 4: Simplify right side
    97,706.80x = 11,402,950,996.11
  5. Step 5: Solve for x
    x = 11,402,950,996.11/97,706.80
  6. Step 6: Final answer
    x = 116,705.81

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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.