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Finding the Fourth Proportional to 78,497.76, 117,820.56 and 28,626.06

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Solution

The fourth proportional to 78,497.76, 117,820.56 and 28,626.06 is: 42,966.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,497.76 : 117,820.56 = 28,626.06 : x
  2. Step 2: Convert to fraction form
    78,497.76/117,820.56 = 28,626.06/x
  3. Step 3: Cross multiply
    78,497.76x = 117,820.56 × 28,626.06
  4. Step 4: Simplify right side
    78,497.76x = 3,372,738,419.79
  5. Step 5: Solve for x
    x = 3,372,738,419.79/78,497.76
  6. Step 6: Final answer
    x = 42,966.05

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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.