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Finding the Fourth Proportional to 189,722.50, 261,820.80 and 103,686.81

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Solution

The fourth proportional to 189,722.50, 261,820.80 and 103,686.81 is: 143,089.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,722.50 : 261,820.80 = 103,686.81 : x
  2. Step 2: Convert to fraction form
    189,722.50/261,820.80 = 103,686.81/x
  3. Step 3: Cross multiply
    189,722.50x = 261,820.80 × 103,686.81
  4. Step 4: Simplify right side
    189,722.50x = 27,147,363,543.65
  5. Step 5: Solve for x
    x = 27,147,363,543.65/189,722.50
  6. Step 6: Final answer
    x = 143,089.85

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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.