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Finding the Fourth Proportional to 72,807.94, 100,478.19 and 40,978.90

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Solution

The fourth proportional to 72,807.94, 100,478.19 and 40,978.90 is: 56,552.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,807.94 : 100,478.19 = 40,978.90 : x
  2. Step 2: Convert to fraction form
    72,807.94/100,478.19 = 40,978.90/x
  3. Step 3: Cross multiply
    72,807.94x = 100,478.19 × 40,978.90
  4. Step 4: Simplify right side
    72,807.94x = 4,117,485,700.19
  5. Step 5: Solve for x
    x = 4,117,485,700.19/72,807.94
  6. Step 6: Final answer
    x = 56,552.70

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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.