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Finding the Fourth Proportional to 72,946.89, 109,404.59 and 23,030.87

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Solution

The fourth proportional to 72,946.89, 109,404.59 and 23,030.87 is: 34,541.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,946.89 : 109,404.59 = 23,030.87 : x
  2. Step 2: Convert to fraction form
    72,946.89/109,404.59 = 23,030.87/x
  3. Step 3: Cross multiply
    72,946.89x = 109,404.59 × 23,030.87
  4. Step 4: Simplify right side
    72,946.89x = 2,519,682,227.52
  5. Step 5: Solve for x
    x = 2,519,682,227.52/72,946.89
  6. Step 6: Final answer
    x = 34,541.32

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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.