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Finding the Fourth Proportional to 255,806.40, 383,490.81 and 98,148

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Solution

The fourth proportional to 255,806.40, 383,490.81 and 98,148 is: 147,138.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,806.40 : 383,490.81 = 98,148 : x
  2. Step 2: Convert to fraction form
    255,806.40/383,490.81 = 98,148/x
  3. Step 3: Cross multiply
    255,806.40x = 383,490.81 × 98,148
  4. Step 4: Simplify right side
    255,806.40x = 37,638,856,019.88
  5. Step 5: Solve for x
    x = 37,638,856,019.88/255,806.40
  6. Step 6: Final answer
    x = 147,138.05

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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.