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Finding the Fourth Proportional to 235,289.66, 352,905.32 and 139,284

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Solution

The fourth proportional to 235,289.66, 352,905.32 and 139,284 is: 208,908.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,289.66 : 352,905.32 = 139,284 : x
  2. Step 2: Convert to fraction form
    235,289.66/352,905.32 = 139,284/x
  3. Step 3: Cross multiply
    235,289.66x = 352,905.32 × 139,284
  4. Step 4: Simplify right side
    235,289.66x = 49,154,064,939.09
  5. Step 5: Solve for x
    x = 49,154,064,939.09/235,289.66
  6. Step 6: Final answer
    x = 208,908.74

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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.