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Finding the Fourth Proportional to 97,941.80, 147,090.90 and 85,694.60

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Solution

The fourth proportional to 97,941.80, 147,090.90 and 85,694.60 is: 128,697.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,941.80 : 147,090.90 = 85,694.60 : x
  2. Step 2: Convert to fraction form
    97,941.80/147,090.90 = 85,694.60/x
  3. Step 3: Cross multiply
    97,941.80x = 147,090.90 × 85,694.60
  4. Step 4: Simplify right side
    97,941.80x = 12,604,895,839.14
  5. Step 5: Solve for x
    x = 12,604,895,839.14/97,941.80
  6. Step 6: Final answer
    x = 128,697.82

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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.