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Finding the Fourth Proportional to 208,072.70, 287,139.03 and 112,580.08

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Solution

The fourth proportional to 208,072.70, 287,139.03 and 112,580.08 is: 155,359.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,072.70 : 287,139.03 = 112,580.08 : x
  2. Step 2: Convert to fraction form
    208,072.70/287,139.03 = 112,580.08/x
  3. Step 3: Cross multiply
    208,072.70x = 287,139.03 × 112,580.08
  4. Step 4: Simplify right side
    208,072.70x = 32,326,133,828.50
  5. Step 5: Solve for x
    x = 32,326,133,828.50/208,072.70
  6. Step 6: Final answer
    x = 155,359.80

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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.