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Finding the Fourth Proportional to 72,957.78, 109,430.91 and 23,039.37

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Solution

The fourth proportional to 72,957.78, 109,430.91 and 23,039.37 is: 34,557.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,957.78 : 109,430.91 = 23,039.37 : x
  2. Step 2: Convert to fraction form
    72,957.78/109,430.91 = 23,039.37/x
  3. Step 3: Cross multiply
    72,957.78x = 109,430.91 × 23,039.37
  4. Step 4: Simplify right side
    72,957.78x = 2,521,219,224.93
  5. Step 5: Solve for x
    x = 2,521,219,224.93/72,957.78
  6. Step 6: Final answer
    x = 34,557.24

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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.