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Finding the Fourth Proportional to 266,377.12, 367,611.64 and 153,200

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Solution

The fourth proportional to 266,377.12, 367,611.64 and 153,200 is: 211,422.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,377.12 : 367,611.64 = 153,200 : x
  2. Step 2: Convert to fraction form
    266,377.12/367,611.64 = 153,200/x
  3. Step 3: Cross multiply
    266,377.12x = 367,611.64 × 153,200
  4. Step 4: Simplify right side
    266,377.12x = 56,318,103,248
  5. Step 5: Solve for x
    x = 56,318,103,248/266,377.12
  6. Step 6: Final answer
    x = 211,422.45

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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.