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Finding the Fourth Proportional to 102,014.85, 142,968.42 and 102,014.85

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Solution

The fourth proportional to 102,014.85, 142,968.42 and 102,014.85 is: 142,968.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,014.85 : 142,968.42 = 102,014.85 : x
  2. Step 2: Convert to fraction form
    102,014.85/142,968.42 = 102,014.85/x
  3. Step 3: Cross multiply
    102,014.85x = 142,968.42 × 102,014.85
  4. Step 4: Simplify right side
    102,014.85x = 14,584,901,921.04
  5. Step 5: Solve for x
    x = 14,584,901,921.04/102,014.85
  6. Step 6: Final answer
    x = 142,968.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.