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Finding the Fourth Proportional to 188,509.34, 260,203.58 and 120,709

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Solution

The fourth proportional to 188,509.34, 260,203.58 and 120,709 is: 166,617.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,509.34 : 260,203.58 = 120,709 : x
  2. Step 2: Convert to fraction form
    188,509.34/260,203.58 = 120,709/x
  3. Step 3: Cross multiply
    188,509.34x = 260,203.58 × 120,709
  4. Step 4: Simplify right side
    188,509.34x = 31,408,913,938.22
  5. Step 5: Solve for x
    x = 31,408,913,938.22/188,509.34
  6. Step 6: Final answer
    x = 166,617.28

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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.