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Finding the Fourth Proportional to 189,259.84, 283,878.56 and 70,921.28

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Solution

The fourth proportional to 189,259.84, 283,878.56 and 70,921.28 is: 106,377.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,259.84 : 283,878.56 = 70,921.28 : x
  2. Step 2: Convert to fraction form
    189,259.84/283,878.56 = 70,921.28/x
  3. Step 3: Cross multiply
    189,259.84x = 283,878.56 × 70,921.28
  4. Step 4: Simplify right side
    189,259.84x = 20,133,030,839.76
  5. Step 5: Solve for x
    x = 20,133,030,839.76/189,259.84
  6. Step 6: Final answer
    x = 106,377.72

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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.