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Finding the Fourth Proportional to 72,807.44, 100,477.50 and 40,978.40

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Solution

The fourth proportional to 72,807.44, 100,477.50 and 40,978.40 is: 56,552.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,807.44 : 100,477.50 = 40,978.40 : x
  2. Step 2: Convert to fraction form
    72,807.44/100,477.50 = 40,978.40/x
  3. Step 3: Cross multiply
    72,807.44x = 100,477.50 × 40,978.40
  4. Step 4: Simplify right side
    72,807.44x = 4,117,407,186
  5. Step 5: Solve for x
    x = 4,117,407,186/72,807.44
  6. Step 6: Final answer
    x = 56,552.01

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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.