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Finding the Fourth Proportional to 87,223.40, 130,835.10 and 31,812.20

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Solution

The fourth proportional to 87,223.40, 130,835.10 and 31,812.20 is: 47,718.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,223.40 : 130,835.10 = 31,812.20 : x
  2. Step 2: Convert to fraction form
    87,223.40/130,835.10 = 31,812.20/x
  3. Step 3: Cross multiply
    87,223.40x = 130,835.10 × 31,812.20
  4. Step 4: Simplify right side
    87,223.40x = 4,162,152,368.22
  5. Step 5: Solve for x
    x = 4,162,152,368.22/87,223.40
  6. Step 6: Final answer
    x = 47,718.30

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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.