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Finding the Fourth Proportional to 268,127.84, 402,137.26 and 78,537.30

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Solution

The fourth proportional to 268,127.84, 402,137.26 and 78,537.30 is: 117,789.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,127.84 : 402,137.26 = 78,537.30 : x
  2. Step 2: Convert to fraction form
    268,127.84/402,137.26 = 78,537.30/x
  3. Step 3: Cross multiply
    268,127.84x = 402,137.26 × 78,537.30
  4. Step 4: Simplify right side
    268,127.84x = 31,582,772,925.44
  5. Step 5: Solve for x
    x = 31,582,772,925.44/268,127.84
  6. Step 6: Final answer
    x = 117,789.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.