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Finding the Fourth Proportional to 402,081.68, 603,106.32 and 102,569.60

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Solution

The fourth proportional to 402,081.68, 603,106.32 and 102,569.60 is: 153,850.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,081.68 : 603,106.32 = 102,569.60 : x
  2. Step 2: Convert to fraction form
    402,081.68/603,106.32 = 102,569.60/x
  3. Step 3: Cross multiply
    402,081.68x = 603,106.32 × 102,569.60
  4. Step 4: Simplify right side
    402,081.68x = 61,860,373,999.87
  5. Step 5: Solve for x
    x = 61,860,373,999.87/402,081.68
  6. Step 6: Final answer
    x = 153,850.27

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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.