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Finding the Fourth Proportional to 47,202, 70,803 and 19,500.72

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Solution

The fourth proportional to 47,202, 70,803 and 19,500.72 is: 29,251.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,202 : 70,803 = 19,500.72 : x
  2. Step 2: Convert to fraction form
    47,202/70,803 = 19,500.72/x
  3. Step 3: Cross multiply
    47,202x = 70,803 × 19,500.72
  4. Step 4: Simplify right side
    47,202x = 1,380,709,478.16
  5. Step 5: Solve for x
    x = 1,380,709,478.16/47,202
  6. Step 6: Final answer
    x = 29,251.08

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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.