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Finding the Fourth Proportional to 56,129.46, 77,458.74 and 30,978.96

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Solution

The fourth proportional to 56,129.46, 77,458.74 and 30,978.96 is: 42,751.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,129.46 : 77,458.74 = 30,978.96 : x
  2. Step 2: Convert to fraction form
    56,129.46/77,458.74 = 30,978.96/x
  3. Step 3: Cross multiply
    56,129.46x = 77,458.74 × 30,978.96
  4. Step 4: Simplify right side
    56,129.46x = 2,399,591,208.11
  5. Step 5: Solve for x
    x = 2,399,591,208.11/56,129.46
  6. Step 6: Final answer
    x = 42,751.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.