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Finding the Fourth Proportional to 78,152.80, 117,152.40 and 69,858.40

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Solution

The fourth proportional to 78,152.80, 117,152.40 and 69,858.40 is: 104,718.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,152.80 : 117,152.40 = 69,858.40 : x
  2. Step 2: Convert to fraction form
    78,152.80/117,152.40 = 69,858.40/x
  3. Step 3: Cross multiply
    78,152.80x = 117,152.40 × 69,858.40
  4. Step 4: Simplify right side
    78,152.80x = 8,184,079,220.16
  5. Step 5: Solve for x
    x = 8,184,079,220.16/78,152.80
  6. Step 6: Final answer
    x = 104,718.95

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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.