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Finding the Fourth Proportional to 60,181, 90,271.50 and 16,405

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Solution

The fourth proportional to 60,181, 90,271.50 and 16,405 is: 24,607.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,181 : 90,271.50 = 16,405 : x
  2. Step 2: Convert to fraction form
    60,181/90,271.50 = 16,405/x
  3. Step 3: Cross multiply
    60,181x = 90,271.50 × 16,405
  4. Step 4: Simplify right side
    60,181x = 1,480,903,957.50
  5. Step 5: Solve for x
    x = 1,480,903,957.50/60,181
  6. Step 6: Final answer
    x = 24,607.50

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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.