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Finding the Fourth Proportional to 145,280, 200,486.40 and 92,380.16

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Solution

The fourth proportional to 145,280, 200,486.40 and 92,380.16 is: 127,484.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,280 : 200,486.40 = 92,380.16 : x
  2. Step 2: Convert to fraction form
    145,280/200,486.40 = 92,380.16/x
  3. Step 3: Cross multiply
    145,280x = 200,486.40 × 92,380.16
  4. Step 4: Simplify right side
    145,280x = 18,520,965,709.82
  5. Step 5: Solve for x
    x = 18,520,965,709.82/145,280
  6. Step 6: Final answer
    x = 127,484.62

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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.