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Finding the Fourth Proportional to 72,915.60, 109,424.60 and 31,392.40

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Solution

The fourth proportional to 72,915.60, 109,424.60 and 31,392.40 is: 47,110.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,915.60 : 109,424.60 = 31,392.40 : x
  2. Step 2: Convert to fraction form
    72,915.60/109,424.60 = 31,392.40/x
  3. Step 3: Cross multiply
    72,915.60x = 109,424.60 × 31,392.40
  4. Step 4: Simplify right side
    72,915.60x = 3,435,100,813.04
  5. Step 5: Solve for x
    x = 3,435,100,813.04/72,915.60
  6. Step 6: Final answer
    x = 47,110.64

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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.