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Finding the Fourth Proportional to 78,181, 117,271.50 and 34,405

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Solution

The fourth proportional to 78,181, 117,271.50 and 34,405 is: 51,607.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,181 : 117,271.50 = 34,405 : x
  2. Step 2: Convert to fraction form
    78,181/117,271.50 = 34,405/x
  3. Step 3: Cross multiply
    78,181x = 117,271.50 × 34,405
  4. Step 4: Simplify right side
    78,181x = 4,034,725,957.50
  5. Step 5: Solve for x
    x = 4,034,725,957.50/78,181
  6. Step 6: Final answer
    x = 51,607.50

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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.