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Finding the Fourth Proportional to 47,878.16, 71,828.16 and 14,601.20

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Solution

The fourth proportional to 47,878.16, 71,828.16 and 14,601.20 is: 21,905.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,878.16 : 71,828.16 = 14,601.20 : x
  2. Step 2: Convert to fraction form
    47,878.16/71,828.16 = 14,601.20/x
  3. Step 3: Cross multiply
    47,878.16x = 71,828.16 × 14,601.20
  4. Step 4: Simplify right side
    47,878.16x = 1,048,777,329.79
  5. Step 5: Solve for x
    x = 1,048,777,329.79/47,878.16
  6. Step 6: Final answer
    x = 21,905.13

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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.