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Finding the Fourth Proportional to 113,512, 156,647.64 and 63,212.08

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Solution

The fourth proportional to 113,512, 156,647.64 and 63,212.08 is: 87,233.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,512 : 156,647.64 = 63,212.08 : x
  2. Step 2: Convert to fraction form
    113,512/156,647.64 = 63,212.08/x
  3. Step 3: Cross multiply
    113,512x = 156,647.64 × 63,212.08
  4. Step 4: Simplify right side
    113,512x = 9,902,023,151.49
  5. Step 5: Solve for x
    x = 9,902,023,151.49/113,512
  6. Step 6: Final answer
    x = 87,233.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.