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Finding the Fourth Proportional to 72,832.98, 100,509.69 and 40,567.35

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Solution

The fourth proportional to 72,832.98, 100,509.69 and 40,567.35 is: 55,983.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,832.98 : 100,509.69 = 40,567.35 : x
  2. Step 2: Convert to fraction form
    72,832.98/100,509.69 = 40,567.35/x
  3. Step 3: Cross multiply
    72,832.98x = 100,509.69 × 40,567.35
  4. Step 4: Simplify right side
    72,832.98x = 4,077,411,772.62
  5. Step 5: Solve for x
    x = 4,077,411,772.62/72,832.98
  6. Step 6: Final answer
    x = 55,983.04

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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.