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Finding the Fourth Proportional to 105,219, 145,201.36 and 57,472.36

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Solution

The fourth proportional to 105,219, 145,201.36 and 57,472.36 is: 79,311.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,219 : 145,201.36 = 57,472.36 : x
  2. Step 2: Convert to fraction form
    105,219/145,201.36 = 57,472.36/x
  3. Step 3: Cross multiply
    105,219x = 145,201.36 × 57,472.36
  4. Step 4: Simplify right side
    105,219x = 8,345,064,834.41
  5. Step 5: Solve for x
    x = 8,345,064,834.41/105,219
  6. Step 6: Final answer
    x = 79,311.39

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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.