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Finding the Fourth Proportional to 189,967.02, 284,935.74 and 77,617.32

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Solution

The fourth proportional to 189,967.02, 284,935.74 and 77,617.32 is: 116,419.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,967.02 : 284,935.74 = 77,617.32 : x
  2. Step 2: Convert to fraction form
    189,967.02/284,935.74 = 77,617.32/x
  3. Step 3: Cross multiply
    189,967.02x = 284,935.74 × 77,617.32
  4. Step 4: Simplify right side
    189,967.02x = 22,115,948,511.02
  5. Step 5: Solve for x
    x = 22,115,948,511.02/189,967.02
  6. Step 6: Final answer
    x = 116,419.94

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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.