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Finding the Fourth Proportional to 47,102.50, 70,655.19 and 14,270.50

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Solution

The fourth proportional to 47,102.50, 70,655.19 and 14,270.50 is: 21,406.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,102.50 : 70,655.19 = 14,270.50 : x
  2. Step 2: Convert to fraction form
    47,102.50/70,655.19 = 14,270.50/x
  3. Step 3: Cross multiply
    47,102.50x = 70,655.19 × 14,270.50
  4. Step 4: Simplify right side
    47,102.50x = 1,008,284,888.90
  5. Step 5: Solve for x
    x = 1,008,284,888.90/47,102.50
  6. Step 6: Final answer
    x = 21,406.19

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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.