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Finding the Fourth Proportional to 78,274.76, 116,470.61 and 78,012.32

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Solution

The fourth proportional to 78,274.76, 116,470.61 and 78,012.32 is: 116,080.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,274.76 : 116,470.61 = 78,012.32 : x
  2. Step 2: Convert to fraction form
    78,274.76/116,470.61 = 78,012.32/x
  3. Step 3: Cross multiply
    78,274.76x = 116,470.61 × 78,012.32
  4. Step 4: Simplify right side
    78,274.76x = 9,086,141,818.05
  5. Step 5: Solve for x
    x = 9,086,141,818.05/78,274.76
  6. Step 6: Final answer
    x = 116,080.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.