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Finding the Fourth Proportional to 266,643.51, 399,778.52 and 98,142

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Solution

The fourth proportional to 266,643.51, 399,778.52 and 98,142 is: 147,144.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,643.51 : 399,778.52 = 98,142 : x
  2. Step 2: Convert to fraction form
    266,643.51/399,778.52 = 98,142/x
  3. Step 3: Cross multiply
    266,643.51x = 399,778.52 × 98,142
  4. Step 4: Simplify right side
    266,643.51x = 39,235,063,019.13
  5. Step 5: Solve for x
    x = 39,235,063,019.13/266,643.51
  6. Step 6: Final answer
    x = 147,144.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.