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Finding the Fourth Proportional to 56,978.46, 85,478.02 and 28,530.25

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Solution

The fourth proportional to 56,978.46, 85,478.02 and 28,530.25 is: 42,800.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,978.46 : 85,478.02 = 28,530.25 : x
  2. Step 2: Convert to fraction form
    56,978.46/85,478.02 = 28,530.25/x
  3. Step 3: Cross multiply
    56,978.46x = 85,478.02 × 28,530.25
  4. Step 4: Simplify right side
    56,978.46x = 2,438,708,995.08
  5. Step 5: Solve for x
    x = 2,438,708,995.08/56,978.46
  6. Step 6: Final answer
    x = 42,800.54

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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.