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Finding the Fourth Proportional to 255,810.40, 383,496.78 and 98,152

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Solution

The fourth proportional to 255,810.40, 383,496.78 and 98,152 is: 147,144.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,810.40 : 383,496.78 = 98,152 : x
  2. Step 2: Convert to fraction form
    255,810.40/383,496.78 = 98,152/x
  3. Step 3: Cross multiply
    255,810.40x = 383,496.78 × 98,152
  4. Step 4: Simplify right side
    255,810.40x = 37,640,975,950.56
  5. Step 5: Solve for x
    x = 37,640,975,950.56/255,810.40
  6. Step 6: Final answer
    x = 147,144.04

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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.