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Finding the Fourth Proportional to 78,322.51, 117,483.75 and 19,157.47

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Solution

The fourth proportional to 78,322.51, 117,483.75 and 19,157.47 is: 28,736.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,322.51 : 117,483.75 = 19,157.47 : x
  2. Step 2: Convert to fraction form
    78,322.51/117,483.75 = 19,157.47/x
  3. Step 3: Cross multiply
    78,322.51x = 117,483.75 × 19,157.47
  4. Step 4: Simplify right side
    78,322.51x = 2,250,691,416.11
  5. Step 5: Solve for x
    x = 2,250,691,416.11/78,322.51
  6. Step 6: Final answer
    x = 28,736.20

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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.