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Finding the Fourth Proportional to 266,710.40, 368,060.14 and 145,851.66

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Solution

The fourth proportional to 266,710.40, 368,060.14 and 145,851.66 is: 201,275.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,710.40 : 368,060.14 = 145,851.66 : x
  2. Step 2: Convert to fraction form
    266,710.40/368,060.14 = 145,851.66/x
  3. Step 3: Cross multiply
    266,710.40x = 368,060.14 × 145,851.66
  4. Step 4: Simplify right side
    266,710.40x = 53,682,181,082.08
  5. Step 5: Solve for x
    x = 53,682,181,082.08/266,710.40
  6. Step 6: Final answer
    x = 201,275.17

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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.