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Finding the Fourth Proportional to 268,500.16, 402,768.02 and 78,977.48

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Solution

The fourth proportional to 268,500.16, 402,768.02 and 78,977.48 is: 118,471.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,500.16 : 402,768.02 = 78,977.48 : x
  2. Step 2: Convert to fraction form
    268,500.16/402,768.02 = 78,977.48/x
  3. Step 3: Cross multiply
    268,500.16x = 402,768.02 × 78,977.48
  4. Step 4: Simplify right side
    268,500.16x = 31,809,603,244.19
  5. Step 5: Solve for x
    x = 31,809,603,244.19/268,500.16
  6. Step 6: Final answer
    x = 118,471.45

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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.