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Finding the Fourth Proportional to 189,168.66, 283,758.93 and 70,817.40

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Solution

The fourth proportional to 189,168.66, 283,758.93 and 70,817.40 is: 106,228.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,168.66 : 283,758.93 = 70,817.40 : x
  2. Step 2: Convert to fraction form
    189,168.66/283,758.93 = 70,817.40/x
  3. Step 3: Cross multiply
    189,168.66x = 283,758.93 × 70,817.40
  4. Step 4: Simplify right side
    189,168.66x = 20,095,069,649.38
  5. Step 5: Solve for x
    x = 20,095,069,649.38/189,168.66
  6. Step 6: Final answer
    x = 106,228.32

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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.