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Finding the Fourth Proportional to 72,964.16, 100,689.80 and 41,143.32

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Solution

The fourth proportional to 72,964.16, 100,689.80 and 41,143.32 is: 56,777.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,964.16 : 100,689.80 = 41,143.32 : x
  2. Step 2: Convert to fraction form
    72,964.16/100,689.80 = 41,143.32/x
  3. Step 3: Cross multiply
    72,964.16x = 100,689.80 × 41,143.32
  4. Step 4: Simplify right side
    72,964.16x = 4,142,712,662.14
  5. Step 5: Solve for x
    x = 4,142,712,662.14/72,964.16
  6. Step 6: Final answer
    x = 56,777.36

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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.