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Finding the Fourth Proportional to 78,295.28, 117,442.35 and 19,130.40

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Solution

The fourth proportional to 78,295.28, 117,442.35 and 19,130.40 is: 28,695.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,295.28 : 117,442.35 = 19,130.40 : x
  2. Step 2: Convert to fraction form
    78,295.28/117,442.35 = 19,130.40/x
  3. Step 3: Cross multiply
    78,295.28x = 117,442.35 × 19,130.40
  4. Step 4: Simplify right side
    78,295.28x = 2,246,719,132.44
  5. Step 5: Solve for x
    x = 2,246,719,132.44/78,295.28
  6. Step 6: Final answer
    x = 28,695.46

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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.