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Finding the Fourth Proportional to 208,429.84, 287,732.36 and 139,637.76

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Solution

The fourth proportional to 208,429.84, 287,732.36 and 139,637.76 is: 192,766.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,429.84 : 287,732.36 = 139,637.76 : x
  2. Step 2: Convert to fraction form
    208,429.84/287,732.36 = 139,637.76/x
  3. Step 3: Cross multiply
    208,429.84x = 287,732.36 × 139,637.76
  4. Step 4: Simplify right side
    208,429.84x = 40,178,301,140.35
  5. Step 5: Solve for x
    x = 40,178,301,140.35/208,429.84
  6. Step 6: Final answer
    x = 192,766.55

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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.