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Finding the Fourth Proportional to 190,779.80, 286,299.30 and 106,539.80

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Solution

The fourth proportional to 190,779.80, 286,299.30 and 106,539.80 is: 159,882.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,779.80 : 286,299.30 = 106,539.80 : x
  2. Step 2: Convert to fraction form
    190,779.80/286,299.30 = 106,539.80/x
  3. Step 3: Cross multiply
    190,779.80x = 286,299.30 × 106,539.80
  4. Step 4: Simplify right side
    190,779.80x = 30,502,270,162.14
  5. Step 5: Solve for x
    x = 30,502,270,162.14/190,779.80
  6. Step 6: Final answer
    x = 159,882.07

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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.