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Finding the Fourth Proportional to 47,154.48, 70,720.72 and 13,865.64

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Solution

The fourth proportional to 47,154.48, 70,720.72 and 13,865.64 is: 20,795.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,154.48 : 70,720.72 = 13,865.64 : x
  2. Step 2: Convert to fraction form
    47,154.48/70,720.72 = 13,865.64/x
  3. Step 3: Cross multiply
    47,154.48x = 70,720.72 × 13,865.64
  4. Step 4: Simplify right side
    47,154.48x = 980,588,044.06
  5. Step 5: Solve for x
    x = 980,588,044.06/47,154.48
  6. Step 6: Final answer
    x = 20,795.23

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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.