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Finding the Fourth Proportional to 172,894.40, 259,341.60 and 102,737.60

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Solution

The fourth proportional to 172,894.40, 259,341.60 and 102,737.60 is: 154,106.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,894.40 : 259,341.60 = 102,737.60 : x
  2. Step 2: Convert to fraction form
    172,894.40/259,341.60 = 102,737.60/x
  3. Step 3: Cross multiply
    172,894.40x = 259,341.60 × 102,737.60
  4. Step 4: Simplify right side
    172,894.40x = 26,644,133,564.16
  5. Step 5: Solve for x
    x = 26,644,133,564.16/172,894.40
  6. Step 6: Final answer
    x = 154,106.40

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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.