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Finding the Fourth Proportional to 145,274.68, 200,468.28 and 81,623.08

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Solution

The fourth proportional to 145,274.68, 200,468.28 and 81,623.08 is: 112,633.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,274.68 : 200,468.28 = 81,623.08 : x
  2. Step 2: Convert to fraction form
    145,274.68/200,468.28 = 81,623.08/x
  3. Step 3: Cross multiply
    145,274.68x = 200,468.28 × 81,623.08
  4. Step 4: Simplify right side
    145,274.68x = 16,362,838,455.90
  5. Step 5: Solve for x
    x = 16,362,838,455.90/145,274.68
  6. Step 6: Final answer
    x = 112,633.79

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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.