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Finding the Fourth Proportional to 72,746.91, 100,389.78 and 40,915.80

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Solution

The fourth proportional to 72,746.91, 100,389.78 and 40,915.80 is: 56,463.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,746.91 : 100,389.78 = 40,915.80 : x
  2. Step 2: Convert to fraction form
    72,746.91/100,389.78 = 40,915.80/x
  3. Step 3: Cross multiply
    72,746.91x = 100,389.78 × 40,915.80
  4. Step 4: Simplify right side
    72,746.91x = 4,107,528,160.52
  5. Step 5: Solve for x
    x = 4,107,528,160.52/72,746.91
  6. Step 6: Final answer
    x = 56,463.27

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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.