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Finding the Fourth Proportional to 72,935.90, 109,403.86 and 23,019.88

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Solution

The fourth proportional to 72,935.90, 109,403.86 and 23,019.88 is: 34,529.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,935.90 : 109,403.86 = 23,019.88 : x
  2. Step 2: Convert to fraction form
    72,935.90/109,403.86 = 23,019.88/x
  3. Step 3: Cross multiply
    72,935.90x = 109,403.86 × 23,019.88
  4. Step 4: Simplify right side
    72,935.90x = 2,518,463,728.74
  5. Step 5: Solve for x
    x = 2,518,463,728.74/72,935.90
  6. Step 6: Final answer
    x = 34,529.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.