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Finding the Fourth Proportional to 257,078.56, 385,566 and 70,065.76

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Solution

The fourth proportional to 257,078.56, 385,566 and 70,065.76 is: 105,084.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,078.56 : 385,566 = 70,065.76 : x
  2. Step 2: Convert to fraction form
    257,078.56/385,566 = 70,065.76/x
  3. Step 3: Cross multiply
    257,078.56x = 385,566 × 70,065.76
  4. Step 4: Simplify right side
    257,078.56x = 27,014,974,820.16
  5. Step 5: Solve for x
    x = 27,014,974,820.16/257,078.56
  6. Step 6: Final answer
    x = 105,084.51

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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.