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Finding the Fourth Proportional to 78,585.20, 117,878.20 and 19,422.08

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Solution

The fourth proportional to 78,585.20, 117,878.20 and 19,422.08 is: 29,133.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,585.20 : 117,878.20 = 19,422.08 : x
  2. Step 2: Convert to fraction form
    78,585.20/117,878.20 = 19,422.08/x
  3. Step 3: Cross multiply
    78,585.20x = 117,878.20 × 19,422.08
  4. Step 4: Simplify right side
    78,585.20x = 2,289,439,830.66
  5. Step 5: Solve for x
    x = 2,289,439,830.66/78,585.20
  6. Step 6: Final answer
    x = 29,133.22

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1.5x scale

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.