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Finding the Fourth Proportional to 140,938.02, 194,493.06 and 77,275.67

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Solution

The fourth proportional to 140,938.02, 194,493.06 and 77,275.67 is: 106,639.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,938.02 : 194,493.06 = 77,275.67 : x
  2. Step 2: Convert to fraction form
    140,938.02/194,493.06 = 77,275.67/x
  3. Step 3: Cross multiply
    140,938.02x = 194,493.06 × 77,275.67
  4. Step 4: Simplify right side
    140,938.02x = 15,029,580,549.38
  5. Step 5: Solve for x
    x = 15,029,580,549.38/140,938.02
  6. Step 6: Final answer
    x = 106,639.65

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