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Finding the Fourth Proportional to 78,516.60, 117,772.10 and 22,356.98

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Solution

The fourth proportional to 78,516.60, 117,772.10 and 22,356.98 is: 33,534.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,516.60 : 117,772.10 = 22,356.98 : x
  2. Step 2: Convert to fraction form
    78,516.60/117,772.10 = 22,356.98/x
  3. Step 3: Cross multiply
    78,516.60x = 117,772.10 × 22,356.98
  4. Step 4: Simplify right side
    78,516.60x = 2,633,028,484.26
  5. Step 5: Solve for x
    x = 2,633,028,484.26/78,516.60
  6. Step 6: Final answer
    x = 33,534.67

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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.