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Finding the Fourth Proportional to 259,852.84, 358,706.31 and 157,911.10

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Solution

The fourth proportional to 259,852.84, 358,706.31 and 157,911.10 is: 217,983.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,852.84 : 358,706.31 = 157,911.10 : x
  2. Step 2: Convert to fraction form
    259,852.84/358,706.31 = 157,911.10/x
  3. Step 3: Cross multiply
    259,852.84x = 358,706.31 × 157,911.10
  4. Step 4: Simplify right side
    259,852.84x = 56,643,706,500.11
  5. Step 5: Solve for x
    x = 56,643,706,500.11/259,852.84
  6. Step 6: Final answer
    x = 217,983.79

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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.