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Finding the Fourth Proportional to 190,963.72, 286,620.62 and 102,317.32

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Solution

The fourth proportional to 190,963.72, 286,620.62 and 102,317.32 is: 153,569.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,963.72 : 286,620.62 = 102,317.32 : x
  2. Step 2: Convert to fraction form
    190,963.72/286,620.62 = 102,317.32/x
  3. Step 3: Cross multiply
    190,963.72x = 286,620.62 × 102,317.32
  4. Step 4: Simplify right side
    190,963.72x = 29,326,253,695.14
  5. Step 5: Solve for x
    x = 29,326,253,695.14/190,963.72
  6. Step 6: Final answer
    x = 153,569.77

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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.