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Finding the Fourth Proportional to 117,706.40, 162,416.04 and 77,436.44

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Solution

The fourth proportional to 117,706.40, 162,416.04 and 77,436.44 is: 106,849.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,706.40 : 162,416.04 = 77,436.44 : x
  2. Step 2: Convert to fraction form
    117,706.40/162,416.04 = 77,436.44/x
  3. Step 3: Cross multiply
    117,706.40x = 162,416.04 × 77,436.44
  4. Step 4: Simplify right side
    117,706.40x = 12,576,919,936.50
  5. Step 5: Solve for x
    x = 12,576,919,936.50/117,706.40
  6. Step 6: Final answer
    x = 106,849.92

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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.