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Finding the Fourth Proportional to 266,000, 367,080 and 146,768

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Solution

The fourth proportional to 266,000, 367,080 and 146,768 is: 202,539.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,000 : 367,080 = 146,768 : x
  2. Step 2: Convert to fraction form
    266,000/367,080 = 146,768/x
  3. Step 3: Cross multiply
    266,000x = 367,080 × 146,768
  4. Step 4: Simplify right side
    266,000x = 53,875,597,440
  5. Step 5: Solve for x
    x = 53,875,597,440/266,000
  6. Step 6: Final answer
    x = 202,539.84

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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.