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Finding the Fourth Proportional to 77,056.40, 115,460.40 and 43,677.20

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Solution

The fourth proportional to 77,056.40, 115,460.40 and 43,677.20 is: 65,445.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,056.40 : 115,460.40 = 43,677.20 : x
  2. Step 2: Convert to fraction form
    77,056.40/115,460.40 = 43,677.20/x
  3. Step 3: Cross multiply
    77,056.40x = 115,460.40 × 43,677.20
  4. Step 4: Simplify right side
    77,056.40x = 5,042,986,982.88
  5. Step 5: Solve for x
    x = 5,042,986,982.88/77,056.40
  6. Step 6: Final answer
    x = 65,445.40

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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.