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Finding the Fourth Proportional to 145,548.48, 200,846.16 and 81,874.02

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Solution

The fourth proportional to 145,548.48, 200,846.16 and 81,874.02 is: 112,980.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,548.48 : 200,846.16 = 81,874.02 : x
  2. Step 2: Convert to fraction form
    145,548.48/200,846.16 = 81,874.02/x
  3. Step 3: Cross multiply
    145,548.48x = 200,846.16 × 81,874.02
  4. Step 4: Simplify right side
    145,548.48x = 16,444,082,520.76
  5. Step 5: Solve for x
    x = 16,444,082,520.76/145,548.48
  6. Step 6: Final answer
    x = 112,980.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.