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Finding the Fourth Proportional to 189,510, 284,266.08 and 78,702

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Solution

The fourth proportional to 189,510, 284,266.08 and 78,702 is: 118,053.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,510 : 284,266.08 = 78,702 : x
  2. Step 2: Convert to fraction form
    189,510/284,266.08 = 78,702/x
  3. Step 3: Cross multiply
    189,510x = 284,266.08 × 78,702
  4. Step 4: Simplify right side
    189,510x = 22,372,309,028.16
  5. Step 5: Solve for x
    x = 22,372,309,028.16/189,510
  6. Step 6: Final answer
    x = 118,053.45

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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.