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Finding the Fourth Proportional to 207,851.48, 286,643.76 and 136,205.48

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Solution

The fourth proportional to 207,851.48, 286,643.76 and 136,205.48 is: 187,838.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,851.48 : 286,643.76 = 136,205.48 : x
  2. Step 2: Convert to fraction form
    207,851.48/286,643.76 = 136,205.48/x
  3. Step 3: Cross multiply
    207,851.48x = 286,643.76 × 136,205.48
  4. Step 4: Simplify right side
    207,851.48x = 39,042,451,125.64
  5. Step 5: Solve for x
    x = 39,042,451,125.64/207,851.48
  6. Step 6: Final answer
    x = 187,838.21

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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.