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Finding the Fourth Proportional to 78,186.65, 117,280.06 and 19,022.32

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Solution

The fourth proportional to 78,186.65, 117,280.06 and 19,022.32 is: 28,533.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,186.65 : 117,280.06 = 19,022.32 : x
  2. Step 2: Convert to fraction form
    78,186.65/117,280.06 = 19,022.32/x
  3. Step 3: Cross multiply
    78,186.65x = 117,280.06 × 19,022.32
  4. Step 4: Simplify right side
    78,186.65x = 2,230,938,830.94
  5. Step 5: Solve for x
    x = 2,230,938,830.94/78,186.65
  6. Step 6: Final answer
    x = 28,533.50

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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.