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Finding the Fourth Proportional to 72,859.93, 109,320.14 and 34,890.10

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Solution

The fourth proportional to 72,859.93, 109,320.14 and 34,890.10 is: 52,349.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,859.93 : 109,320.14 = 34,890.10 : x
  2. Step 2: Convert to fraction form
    72,859.93/109,320.14 = 34,890.10/x
  3. Step 3: Cross multiply
    72,859.93x = 109,320.14 × 34,890.10
  4. Step 4: Simplify right side
    72,859.93x = 3,814,190,430.54
  5. Step 5: Solve for x
    x = 3,814,190,430.54/72,859.93
  6. Step 6: Final answer
    x = 52,349.63

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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.