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Finding the Fourth Proportional to 255,803.40, 383,486.31 and 98,145

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Solution

The fourth proportional to 255,803.40, 383,486.31 and 98,145 is: 147,133.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,803.40 : 383,486.31 = 98,145 : x
  2. Step 2: Convert to fraction form
    255,803.40/383,486.31 = 98,145/x
  3. Step 3: Cross multiply
    255,803.40x = 383,486.31 × 98,145
  4. Step 4: Simplify right side
    255,803.40x = 37,637,263,894.95
  5. Step 5: Solve for x
    x = 37,637,263,894.95/255,803.40
  6. Step 6: Final answer
    x = 147,133.56

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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.