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Finding the Fourth Proportional to 118,214.16, 176,971.32 and 78,634.32

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Solution

The fourth proportional to 118,214.16, 176,971.32 and 78,634.32 is: 117,718.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,214.16 : 176,971.32 = 78,634.32 : x
  2. Step 2: Convert to fraction form
    118,214.16/176,971.32 = 78,634.32/x
  3. Step 3: Cross multiply
    118,214.16x = 176,971.32 × 78,634.32
  4. Step 4: Simplify right side
    118,214.16x = 13,916,019,407.70
  5. Step 5: Solve for x
    x = 13,916,019,407.70/118,214.16
  6. Step 6: Final answer
    x = 117,718.72

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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.