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Finding the Fourth Proportional to 78,112, 117,089.08 and 30,760.32

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Solution

The fourth proportional to 78,112, 117,089.08 and 30,760.32 is: 46,109.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,112 : 117,089.08 = 30,760.32 : x
  2. Step 2: Convert to fraction form
    78,112/117,089.08 = 30,760.32/x
  3. Step 3: Cross multiply
    78,112x = 117,089.08 × 30,760.32
  4. Step 4: Simplify right side
    78,112x = 3,601,697,569.31
  5. Step 5: Solve for x
    x = 3,601,697,569.31/78,112
  6. Step 6: Final answer
    x = 46,109.40

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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.