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Finding the Fourth Proportional to 87,188.58, 130,782.24 and 57,738.24

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Solution

The fourth proportional to 87,188.58, 130,782.24 and 57,738.24 is: 86,606.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,188.58 : 130,782.24 = 57,738.24 : x
  2. Step 2: Convert to fraction form
    87,188.58/130,782.24 = 57,738.24/x
  3. Step 3: Cross multiply
    87,188.58x = 130,782.24 × 57,738.24
  4. Step 4: Simplify right side
    87,188.58x = 7,551,136,360.86
  5. Step 5: Solve for x
    x = 7,551,136,360.86/87,188.58
  6. Step 6: Final answer
    x = 86,606.94

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1.5x scale

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.