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Finding the Fourth Proportional to 78,449.28, 117,670.80 and 19,282.08

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Solution

The fourth proportional to 78,449.28, 117,670.80 and 19,282.08 is: 28,922.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,449.28 : 117,670.80 = 19,282.08 : x
  2. Step 2: Convert to fraction form
    78,449.28/117,670.80 = 19,282.08/x
  3. Step 3: Cross multiply
    78,449.28x = 117,670.80 × 19,282.08
  4. Step 4: Simplify right side
    78,449.28x = 2,268,937,779.26
  5. Step 5: Solve for x
    x = 2,268,937,779.26/78,449.28
  6. Step 6: Final answer
    x = 28,922.35

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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.