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Finding the Fourth Proportional to 78,424.50, 117,636.74 and 28,495.28

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Solution

The fourth proportional to 78,424.50, 117,636.74 and 28,495.28 is: 42,742.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,424.50 : 117,636.74 = 28,495.28 : x
  2. Step 2: Convert to fraction form
    78,424.50/117,636.74 = 28,495.28/x
  3. Step 3: Cross multiply
    78,424.50x = 117,636.74 × 28,495.28
  4. Step 4: Simplify right side
    78,424.50x = 3,352,091,844.59
  5. Step 5: Solve for x
    x = 3,352,091,844.59/78,424.50
  6. Step 6: Final answer
    x = 42,742.92

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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.