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Finding the Fourth Proportional to 77,977.80, 116,978.88 and 25,374.96

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Solution

The fourth proportional to 77,977.80, 116,978.88 and 25,374.96 is: 38,066.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,977.80 : 116,978.88 = 25,374.96 : x
  2. Step 2: Convert to fraction form
    77,977.80/116,978.88 = 25,374.96/x
  3. Step 3: Cross multiply
    77,977.80x = 116,978.88 × 25,374.96
  4. Step 4: Simplify right side
    77,977.80x = 2,968,334,400.84
  5. Step 5: Solve for x
    x = 2,968,334,400.84/77,977.80
  6. Step 6: Final answer
    x = 38,066.40

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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.