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Finding the Fourth Proportional to 190,910, 286,365.64 and 64,551.26

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Solution

The fourth proportional to 190,910, 286,365.64 and 64,551.26 is: 96,827.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,910 : 286,365.64 = 64,551.26 : x
  2. Step 2: Convert to fraction form
    190,910/286,365.64 = 64,551.26/x
  3. Step 3: Cross multiply
    190,910x = 286,365.64 × 64,551.26
  4. Step 4: Simplify right side
    190,910x = 18,485,262,882.71
  5. Step 5: Solve for x
    x = 18,485,262,882.71/190,910
  6. Step 6: Final answer
    x = 96,827.11

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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.