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Finding the Fourth Proportional to 257,929.84, 386,661.20 and 91,678.96

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Solution

The fourth proportional to 257,929.84, 386,661.20 and 91,678.96 is: 137,435.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,929.84 : 386,661.20 = 91,678.96 : x
  2. Step 2: Convert to fraction form
    257,929.84/386,661.20 = 91,678.96/x
  3. Step 3: Cross multiply
    257,929.84x = 386,661.20 × 91,678.96
  4. Step 4: Simplify right side
    257,929.84x = 35,448,696,688.35
  5. Step 5: Solve for x
    x = 35,448,696,688.35/257,929.84
  6. Step 6: Final answer
    x = 137,435.42

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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.