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Finding the Fourth Proportional to 134,657, 185,825.66 and 74,227.70

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Solution

The fourth proportional to 134,657, 185,825.66 and 74,227.70 is: 102,433.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,657 : 185,825.66 = 74,227.70 : x
  2. Step 2: Convert to fraction form
    134,657/185,825.66 = 74,227.70/x
  3. Step 3: Cross multiply
    134,657x = 185,825.66 × 74,227.70
  4. Step 4: Simplify right side
    134,657x = 13,793,411,342.78
  5. Step 5: Solve for x
    x = 13,793,411,342.78/134,657
  6. Step 6: Final answer
    x = 102,433.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.