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Finding the Fourth Proportional to 78,356.16, 117,530.60 and 19,188.70

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Solution

The fourth proportional to 78,356.16, 117,530.60 and 19,188.70 is: 28,782.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,356.16 : 117,530.60 = 19,188.70 : x
  2. Step 2: Convert to fraction form
    78,356.16/117,530.60 = 19,188.70/x
  3. Step 3: Cross multiply
    78,356.16x = 117,530.60 × 19,188.70
  4. Step 4: Simplify right side
    78,356.16x = 2,255,259,034.45
  5. Step 5: Solve for x
    x = 2,255,259,034.45/78,356.16
  6. Step 6: Final answer
    x = 28,782.15

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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.