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Finding the Fourth Proportional to 208,448.49, 287,664.48 and 126,748.56

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Solution

The fourth proportional to 208,448.49, 287,664.48 and 126,748.56 is: 174,916.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,448.49 : 287,664.48 = 126,748.56 : x
  2. Step 2: Convert to fraction form
    208,448.49/287,664.48 = 126,748.56/x
  3. Step 3: Cross multiply
    208,448.49x = 287,664.48 × 126,748.56
  4. Step 4: Simplify right side
    208,448.49x = 36,461,058,603.15
  5. Step 5: Solve for x
    x = 36,461,058,603.15/208,448.49
  6. Step 6: Final answer
    x = 174,916.40

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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.