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Finding the Fourth Proportional to 205,856, 284,088.96 and 116,430.08

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Solution

The fourth proportional to 205,856, 284,088.96 and 116,430.08 is: 160,677.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,856 : 284,088.96 = 116,430.08 : x
  2. Step 2: Convert to fraction form
    205,856/284,088.96 = 116,430.08/x
  3. Step 3: Cross multiply
    205,856x = 284,088.96 × 116,430.08
  4. Step 4: Simplify right side
    205,856x = 33,076,500,339.92
  5. Step 5: Solve for x
    x = 33,076,500,339.92/205,856
  6. Step 6: Final answer
    x = 160,677.85

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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.