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Finding the Fourth Proportional to 117,615.54, 162,376.71 and 77,446.02

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Solution

The fourth proportional to 117,615.54, 162,376.71 and 77,446.02 is: 106,919.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,615.54 : 162,376.71 = 77,446.02 : x
  2. Step 2: Convert to fraction form
    117,615.54/162,376.71 = 77,446.02/x
  3. Step 3: Cross multiply
    117,615.54x = 162,376.71 × 77,446.02
  4. Step 4: Simplify right side
    117,615.54x = 12,575,429,930.19
  5. Step 5: Solve for x
    x = 12,575,429,930.19/117,615.54
  6. Step 6: Final answer
    x = 106,919.80

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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.