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Finding the Fourth Proportional to 78,585.88, 117,878.93 and 19,420.65

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Solution

The fourth proportional to 78,585.88, 117,878.93 and 19,420.65 is: 29,131.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,585.88 : 117,878.93 = 19,420.65 : x
  2. Step 2: Convert to fraction form
    78,585.88/117,878.93 = 19,420.65/x
  3. Step 3: Cross multiply
    78,585.88x = 117,878.93 × 19,420.65
  4. Step 4: Simplify right side
    78,585.88x = 2,289,285,441.90
  5. Step 5: Solve for x
    x = 2,289,285,441.90/78,585.88
  6. Step 6: Final answer
    x = 29,131.00

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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.