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Finding the Fourth Proportional to 77,388, 116,091.92 and 21,985.44

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Solution

The fourth proportional to 77,388, 116,091.92 and 21,985.44 is: 32,980.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,388 : 116,091.92 = 21,985.44 : x
  2. Step 2: Convert to fraction form
    77,388/116,091.92 = 21,985.44/x
  3. Step 3: Cross multiply
    77,388x = 116,091.92 × 21,985.44
  4. Step 4: Simplify right side
    77,388x = 2,552,331,941.64
  5. Step 5: Solve for x
    x = 2,552,331,941.64/77,388
  6. Step 6: Final answer
    x = 32,980.98

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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.