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Finding the Fourth Proportional to 207,851.42, 286,643.67 and 136,205.42

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Solution

The fourth proportional to 207,851.42, 286,643.67 and 136,205.42 is: 187,838.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,851.42 : 286,643.67 = 136,205.42 : x
  2. Step 2: Convert to fraction form
    207,851.42/286,643.67 = 136,205.42/x
  3. Step 3: Cross multiply
    207,851.42x = 286,643.67 × 136,205.42
  4. Step 4: Simplify right side
    207,851.42x = 39,042,421,462.69
  5. Step 5: Solve for x
    x = 39,042,421,462.69/207,851.42
  6. Step 6: Final answer
    x = 187,838.13

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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.