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Finding the Fourth Proportional to 78,101.94, 117,158.08 and 30,713.30

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Solution

The fourth proportional to 78,101.94, 117,158.08 and 30,713.30 is: 46,071.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,101.94 : 117,158.08 = 30,713.30 : x
  2. Step 2: Convert to fraction form
    78,101.94/117,158.08 = 30,713.30/x
  3. Step 3: Cross multiply
    78,101.94x = 117,158.08 × 30,713.30
  4. Step 4: Simplify right side
    78,101.94x = 3,598,311,258.46
  5. Step 5: Solve for x
    x = 3,598,311,258.46/78,101.94
  6. Step 6: Final answer
    x = 46,071.98

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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.