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Finding the Fourth Proportional to 172,689.60, 258,645.60 and 102,705.60

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Solution

The fourth proportional to 172,689.60, 258,645.60 and 102,705.60 is: 153,827.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,689.60 : 258,645.60 = 102,705.60 : x
  2. Step 2: Convert to fraction form
    172,689.60/258,645.60 = 102,705.60/x
  3. Step 3: Cross multiply
    172,689.60x = 258,645.60 × 102,705.60
  4. Step 4: Simplify right side
    172,689.60x = 26,564,351,535.36
  5. Step 5: Solve for x
    x = 26,564,351,535.36/172,689.60
  6. Step 6: Final answer
    x = 153,827.16

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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.