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Finding the Fourth Proportional to 189,116.64, 283,699.55 and 69,154.91

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Solution

The fourth proportional to 189,116.64, 283,699.55 and 69,154.91 is: 103,741.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,116.64 : 283,699.55 = 69,154.91 : x
  2. Step 2: Convert to fraction form
    189,116.64/283,699.55 = 69,154.91/x
  3. Step 3: Cross multiply
    189,116.64x = 283,699.55 × 69,154.91
  4. Step 4: Simplify right side
    189,116.64x = 19,619,215,083.02
  5. Step 5: Solve for x
    x = 19,619,215,083.02/189,116.64
  6. Step 6: Final answer
    x = 103,741.35

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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.