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Finding the Fourth Proportional to 129,825.40, 182,018 and 129,825.40

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Solution

The fourth proportional to 129,825.40, 182,018 and 129,825.40 is: 182,018

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,825.40 : 182,018 = 129,825.40 : x
  2. Step 2: Convert to fraction form
    129,825.40/182,018 = 129,825.40/x
  3. Step 3: Cross multiply
    129,825.40x = 182,018 × 129,825.40
  4. Step 4: Simplify right side
    129,825.40x = 23,630,559,657.20
  5. Step 5: Solve for x
    x = 23,630,559,657.20/129,825.40
  6. Step 6: Final answer
    x = 182,018

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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.