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Finding the Fourth Proportional to 118,305.96, 163,201.47 and 78,005.02

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Solution

The fourth proportional to 118,305.96, 163,201.47 and 78,005.02 is: 107,606.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,305.96 : 163,201.47 = 78,005.02 : x
  2. Step 2: Convert to fraction form
    118,305.96/163,201.47 = 78,005.02/x
  3. Step 3: Cross multiply
    118,305.96x = 163,201.47 × 78,005.02
  4. Step 4: Simplify right side
    118,305.96x = 12,730,533,541.35
  5. Step 5: Solve for x
    x = 12,730,533,541.35/118,305.96
  6. Step 6: Final answer
    x = 107,606.87

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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.