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Finding the Fourth Proportional to 190,710.31, 286,106.48 and 64,353.69

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Solution

The fourth proportional to 190,710.31, 286,106.48 and 64,353.69 is: 96,544.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,710.31 : 286,106.48 = 64,353.69 : x
  2. Step 2: Convert to fraction form
    190,710.31/286,106.48 = 64,353.69/x
  3. Step 3: Cross multiply
    190,710.31x = 286,106.48 × 64,353.69
  4. Step 4: Simplify right side
    190,710.31x = 18,412,007,720.91
  5. Step 5: Solve for x
    x = 18,412,007,720.91/190,710.31
  6. Step 6: Final answer
    x = 96,544.38

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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.