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Finding the Fourth Proportional to 97,475.46, 145,880.51 and 81,698.30

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Solution

The fourth proportional to 97,475.46, 145,880.51 and 81,698.30 is: 122,268.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,475.46 : 145,880.51 = 81,698.30 : x
  2. Step 2: Convert to fraction form
    97,475.46/145,880.51 = 81,698.30/x
  3. Step 3: Cross multiply
    97,475.46x = 145,880.51 × 81,698.30
  4. Step 4: Simplify right side
    97,475.46x = 11,918,189,670.13
  5. Step 5: Solve for x
    x = 11,918,189,670.13/97,475.46
  6. Step 6: Final answer
    x = 122,268.62

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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.