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Finding the Fourth Proportional to 126,635.50, 190,018.86 and 64,306

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Solution

The fourth proportional to 126,635.50, 190,018.86 and 64,306 is: 96,492.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,635.50 : 190,018.86 = 64,306 : x
  2. Step 2: Convert to fraction form
    126,635.50/190,018.86 = 64,306/x
  3. Step 3: Cross multiply
    126,635.50x = 190,018.86 × 64,306
  4. Step 4: Simplify right side
    126,635.50x = 12,219,352,811.16
  5. Step 5: Solve for x
    x = 12,219,352,811.16/126,635.50
  6. Step 6: Final answer
    x = 96,492.32

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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.