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Finding the Fourth Proportional to 97,728.60, 146,592.90 and 83,731.80

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Solution

The fourth proportional to 97,728.60, 146,592.90 and 83,731.80 is: 125,597.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,728.60 : 146,592.90 = 83,731.80 : x
  2. Step 2: Convert to fraction form
    97,728.60/146,592.90 = 83,731.80/x
  3. Step 3: Cross multiply
    97,728.60x = 146,592.90 × 83,731.80
  4. Step 4: Simplify right side
    97,728.60x = 12,274,487,384.22
  5. Step 5: Solve for x
    x = 12,274,487,384.22/97,728.60
  6. Step 6: Final answer
    x = 125,597.70

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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.