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Finding the Fourth Proportional to 235,009, 352,513.50 and 59,905

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Solution

The fourth proportional to 235,009, 352,513.50 and 59,905 is: 89,857.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,009 : 352,513.50 = 59,905 : x
  2. Step 2: Convert to fraction form
    235,009/352,513.50 = 59,905/x
  3. Step 3: Cross multiply
    235,009x = 352,513.50 × 59,905
  4. Step 4: Simplify right side
    235,009x = 21,117,321,217.50
  5. Step 5: Solve for x
    x = 21,117,321,217.50/235,009
  6. Step 6: Final answer
    x = 89,857.50

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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.