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Finding the Fourth Proportional to 188,702.21, 260,411.12 and 102,661.68

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Solution

The fourth proportional to 188,702.21, 260,411.12 and 102,661.68 is: 141,674.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,702.21 : 260,411.12 = 102,661.68 : x
  2. Step 2: Convert to fraction form
    188,702.21/260,411.12 = 102,661.68/x
  3. Step 3: Cross multiply
    188,702.21x = 260,411.12 × 102,661.68
  4. Step 4: Simplify right side
    188,702.21x = 26,734,243,918.10
  5. Step 5: Solve for x
    x = 26,734,243,918.10/188,702.21
  6. Step 6: Final answer
    x = 141,674.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.