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Finding the Fourth Proportional to 208,554.50, 287,803.50 and 113,058.74

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Solution

The fourth proportional to 208,554.50, 287,803.50 and 113,058.74 is: 156,020.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,554.50 : 287,803.50 = 113,058.74 : x
  2. Step 2: Convert to fraction form
    208,554.50/287,803.50 = 113,058.74/x
  3. Step 3: Cross multiply
    208,554.50x = 287,803.50 × 113,058.74
  4. Step 4: Simplify right side
    208,554.50x = 32,538,701,077.59
  5. Step 5: Solve for x
    x = 32,538,701,077.59/208,554.50
  6. Step 6: Final answer
    x = 156,020.13

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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.