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Finding the Fourth Proportional to 97,738.40, 146,607.60 and 86,657.60

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Solution

The fourth proportional to 97,738.40, 146,607.60 and 86,657.60 is: 129,986.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,738.40 : 146,607.60 = 86,657.60 : x
  2. Step 2: Convert to fraction form
    97,738.40/146,607.60 = 86,657.60/x
  3. Step 3: Cross multiply
    97,738.40x = 146,607.60 × 86,657.60
  4. Step 4: Simplify right side
    97,738.40x = 12,704,662,757.76
  5. Step 5: Solve for x
    x = 12,704,662,757.76/97,738.40
  6. Step 6: Final answer
    x = 129,986.40

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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.