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Finding the Fourth Proportional to 117,663.60, 162,293.64 and 77,364.48

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Solution

The fourth proportional to 117,663.60, 162,293.64 and 77,364.48 is: 106,708.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,663.60 : 162,293.64 = 77,364.48 : x
  2. Step 2: Convert to fraction form
    117,663.60/162,293.64 = 77,364.48/x
  3. Step 3: Cross multiply
    117,663.60x = 162,293.64 × 77,364.48
  4. Step 4: Simplify right side
    117,663.60x = 12,555,763,065.91
  5. Step 5: Solve for x
    x = 12,555,763,065.91/117,663.60
  6. Step 6: Final answer
    x = 106,708.98

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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.