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Finding the Fourth Proportional to 208,513.84, 287,749.38 and 113,020.51

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Solution

The fourth proportional to 208,513.84, 287,749.38 and 113,020.51 is: 155,968.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,513.84 : 287,749.38 = 113,020.51 : x
  2. Step 2: Convert to fraction form
    208,513.84/287,749.38 = 113,020.51/x
  3. Step 3: Cross multiply
    208,513.84x = 287,749.38 × 113,020.51
  4. Step 4: Simplify right side
    208,513.84x = 32,521,581,384.24
  5. Step 5: Solve for x
    x = 32,521,581,384.24/208,513.84
  6. Step 6: Final answer
    x = 155,968.46

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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.