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Finding the Fourth Proportional to 190,295, 262,607.10 and 105,417.56

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Solution

The fourth proportional to 190,295, 262,607.10 and 105,417.56 is: 145,476.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,295 : 262,607.10 = 105,417.56 : x
  2. Step 2: Convert to fraction form
    190,295/262,607.10 = 105,417.56/x
  3. Step 3: Cross multiply
    190,295x = 262,607.10 × 105,417.56
  4. Step 4: Simplify right side
    190,295x = 27,683,399,720.68
  5. Step 5: Solve for x
    x = 27,683,399,720.68/190,295
  6. Step 6: Final answer
    x = 145,476.23

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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.