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Finding the Fourth Proportional to 78,138, 117,212.81 and 31,391.01

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Solution

The fourth proportional to 78,138, 117,212.81 and 31,391.01 is: 47,088.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,138 : 117,212.81 = 31,391.01 : x
  2. Step 2: Convert to fraction form
    78,138/117,212.81 = 31,391.01/x
  3. Step 3: Cross multiply
    78,138x = 117,212.81 × 31,391.01
  4. Step 4: Simplify right side
    78,138x = 3,679,428,333.88
  5. Step 5: Solve for x
    x = 3,679,428,333.88/78,138
  6. Step 6: Final answer
    x = 47,088.85

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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.