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Finding the Fourth Proportional to 131,575, 197,263.68 and 42,775.80

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Solution

The fourth proportional to 131,575, 197,263.68 and 42,775.80 is: 64,131.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,575 : 197,263.68 = 42,775.80 : x
  2. Step 2: Convert to fraction form
    131,575/197,263.68 = 42,775.80/x
  3. Step 3: Cross multiply
    131,575x = 197,263.68 × 42,775.80
  4. Step 4: Simplify right side
    131,575x = 8,438,111,722.94
  5. Step 5: Solve for x
    x = 8,438,111,722.94/131,575
  6. Step 6: Final answer
    x = 64,131.57

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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.