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Finding the Fourth Proportional to 56,978.40, 85,273.20 and 56,978.40

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Solution

The fourth proportional to 56,978.40, 85,273.20 and 56,978.40 is: 85,273.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,978.40 : 85,273.20 = 56,978.40 : x
  2. Step 2: Convert to fraction form
    56,978.40/85,273.20 = 56,978.40/x
  3. Step 3: Cross multiply
    56,978.40x = 85,273.20 × 56,978.40
  4. Step 4: Simplify right side
    56,978.40x = 4,858,730,498.88
  5. Step 5: Solve for x
    x = 4,858,730,498.88/56,978.40
  6. Step 6: Final answer
    x = 85,273.20

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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.