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Finding the Fourth Proportional to 97,739.80, 146,415.30 and 90,741.40

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Solution

The fourth proportional to 97,739.80, 146,415.30 and 90,741.40 is: 135,931.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,739.80 : 146,415.30 = 90,741.40 : x
  2. Step 2: Convert to fraction form
    97,739.80/146,415.30 = 90,741.40/x
  3. Step 3: Cross multiply
    97,739.80x = 146,415.30 × 90,741.40
  4. Step 4: Simplify right side
    97,739.80x = 13,285,929,303.42
  5. Step 5: Solve for x
    x = 13,285,929,303.42/97,739.80
  6. Step 6: Final answer
    x = 135,931.62

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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.