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Finding the Fourth Proportional to 194,089.72, 291,134.40 and 87,348.91

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Solution

The fourth proportional to 194,089.72, 291,134.40 and 87,348.91 is: 131,023.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,089.72 : 291,134.40 = 87,348.91 : x
  2. Step 2: Convert to fraction form
    194,089.72/291,134.40 = 87,348.91/x
  3. Step 3: Cross multiply
    194,089.72x = 291,134.40 × 87,348.91
  4. Step 4: Simplify right side
    194,089.72x = 25,430,272,503.50
  5. Step 5: Solve for x
    x = 25,430,272,503.50/194,089.72
  6. Step 6: Final answer
    x = 131,023.28

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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.