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Finding the Fourth Proportional to 268,256.93, 402,447.71 and 78,709.64

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Solution

The fourth proportional to 268,256.93, 402,447.71 and 78,709.64 is: 118,082.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,256.93 : 402,447.71 = 78,709.64 : x
  2. Step 2: Convert to fraction form
    268,256.93/402,447.71 = 78,709.64/x
  3. Step 3: Cross multiply
    268,256.93x = 402,447.71 × 78,709.64
  4. Step 4: Simplify right side
    268,256.93x = 31,676,511,967.14
  5. Step 5: Solve for x
    x = 31,676,511,967.14/268,256.93
  6. Step 6: Final answer
    x = 118,082.74

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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.