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Finding the Fourth Proportional to 133,083.72, 183,640.50 and 76,513.32

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Solution

The fourth proportional to 133,083.72, 183,640.50 and 76,513.32 is: 105,579.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,083.72 : 183,640.50 = 76,513.32 : x
  2. Step 2: Convert to fraction form
    133,083.72/183,640.50 = 76,513.32/x
  3. Step 3: Cross multiply
    133,083.72x = 183,640.50 × 76,513.32
  4. Step 4: Simplify right side
    133,083.72x = 14,050,944,341.46
  5. Step 5: Solve for x
    x = 14,050,944,341.46/133,083.72
  6. Step 6: Final answer
    x = 105,579.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.