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Finding the Fourth Proportional to 97,878.20, 146,817.30 and 85,825.40

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Solution

The fourth proportional to 97,878.20, 146,817.30 and 85,825.40 is: 128,738.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,878.20 : 146,817.30 = 85,825.40 : x
  2. Step 2: Convert to fraction form
    97,878.20/146,817.30 = 85,825.40/x
  3. Step 3: Cross multiply
    97,878.20x = 146,817.30 × 85,825.40
  4. Step 4: Simplify right side
    97,878.20x = 12,600,653,499.42
  5. Step 5: Solve for x
    x = 12,600,653,499.42/97,878.20
  6. Step 6: Final answer
    x = 128,738.10

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1.5x scale

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.