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Finding the Fourth Proportional to 87,057, 130,622.45 and 47,567.98

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Solution

The fourth proportional to 87,057, 130,622.45 and 47,567.98 is: 71,372.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,057 : 130,622.45 = 47,567.98 : x
  2. Step 2: Convert to fraction form
    87,057/130,622.45 = 47,567.98/x
  3. Step 3: Cross multiply
    87,057x = 130,622.45 × 47,567.98
  4. Step 4: Simplify right side
    87,057x = 6,213,446,089.15
  5. Step 5: Solve for x
    x = 6,213,446,089.15/87,057
  6. Step 6: Final answer
    x = 71,372.16

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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.