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Finding the Fourth Proportional to 78,492.98, 117,739.91 and 19,328.22

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Solution

The fourth proportional to 78,492.98, 117,739.91 and 19,328.22 is: 28,992.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,492.98 : 117,739.91 = 19,328.22 : x
  2. Step 2: Convert to fraction form
    78,492.98/117,739.91 = 19,328.22/x
  3. Step 3: Cross multiply
    78,492.98x = 117,739.91 × 19,328.22
  4. Step 4: Simplify right side
    78,492.98x = 2,275,702,931.58
  5. Step 5: Solve for x
    x = 2,275,702,931.58/78,492.98
  6. Step 6: Final answer
    x = 28,992.44

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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.