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Finding the Fourth Proportional to 108,671.76, 162,976.05 and 42,097.05

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Solution

The fourth proportional to 108,671.76, 162,976.05 and 42,097.05 is: 63,133.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,671.76 : 162,976.05 = 42,097.05 : x
  2. Step 2: Convert to fraction form
    108,671.76/162,976.05 = 42,097.05/x
  3. Step 3: Cross multiply
    108,671.76x = 162,976.05 × 42,097.05
  4. Step 4: Simplify right side
    108,671.76x = 6,860,810,925.65
  5. Step 5: Solve for x
    x = 6,860,810,925.65/108,671.76
  6. Step 6: Final answer
    x = 63,133.34

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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.