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Finding the Fourth Proportional to 268,249.77, 402,436.98 and 78,702.48

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Solution

The fourth proportional to 268,249.77, 402,436.98 and 78,702.48 is: 118,072.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,249.77 : 402,436.98 = 78,702.48 : x
  2. Step 2: Convert to fraction form
    268,249.77/402,436.98 = 78,702.48/x
  3. Step 3: Cross multiply
    268,249.77x = 402,436.98 × 78,702.48
  4. Step 4: Simplify right side
    268,249.77x = 31,672,788,369.71
  5. Step 5: Solve for x
    x = 31,672,788,369.71/268,249.77
  6. Step 6: Final answer
    x = 118,072.01

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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.