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Finding the Fourth Proportional to 189,117.64, 283,701.05 and 69,155.91

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Solution

The fourth proportional to 189,117.64, 283,701.05 and 69,155.91 is: 103,742.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,117.64 : 283,701.05 = 69,155.91 : x
  2. Step 2: Convert to fraction form
    189,117.64/283,701.05 = 69,155.91/x
  3. Step 3: Cross multiply
    189,117.64x = 283,701.05 × 69,155.91
  4. Step 4: Simplify right side
    189,117.64x = 19,619,602,516.42
  5. Step 5: Solve for x
    x = 19,619,602,516.42/189,117.64
  6. Step 6: Final answer
    x = 103,742.85

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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.