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Finding the Fourth Proportional to 102,016.90, 142,940.30 and 102,016.90

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Solution

The fourth proportional to 102,016.90, 142,940.30 and 102,016.90 is: 142,940.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,016.90 : 142,940.30 = 102,016.90 : x
  2. Step 2: Convert to fraction form
    102,016.90/142,940.30 = 102,016.90/x
  3. Step 3: Cross multiply
    102,016.90x = 142,940.30 × 102,016.90
  4. Step 4: Simplify right side
    102,016.90x = 14,582,326,291.07
  5. Step 5: Solve for x
    x = 14,582,326,291.07/102,016.90
  6. Step 6: Final answer
    x = 142,940.30

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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.