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Finding the Fourth Proportional to 105,018.09, 144,936.20 and 64,206.16

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Solution

The fourth proportional to 105,018.09, 144,936.20 and 64,206.16 is: 88,611.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,018.09 : 144,936.20 = 64,206.16 : x
  2. Step 2: Convert to fraction form
    105,018.09/144,936.20 = 64,206.16/x
  3. Step 3: Cross multiply
    105,018.09x = 144,936.20 × 64,206.16
  4. Step 4: Simplify right side
    105,018.09x = 9,305,796,846.99
  5. Step 5: Solve for x
    x = 9,305,796,846.99/105,018.09
  6. Step 6: Final answer
    x = 88,611.37

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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.