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Finding the Fourth Proportional to 189,328.32, 283,909.62 and 70,916.64

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Solution

The fourth proportional to 189,328.32, 283,909.62 and 70,916.64 is: 106,343.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,328.32 : 283,909.62 = 70,916.64 : x
  2. Step 2: Convert to fraction form
    189,328.32/283,909.62 = 70,916.64/x
  3. Step 3: Cross multiply
    189,328.32x = 283,909.62 × 70,916.64
  4. Step 4: Simplify right side
    189,328.32x = 20,133,916,314.08
  5. Step 5: Solve for x
    x = 20,133,916,314.08/189,328.32
  6. Step 6: Final answer
    x = 106,343.92

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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.