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Finding the Fourth Proportional to 75,145.40, 103,697.90 and 43,315.64

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Solution

The fourth proportional to 75,145.40, 103,697.90 and 43,315.64 is: 59,774.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,145.40 : 103,697.90 = 43,315.64 : x
  2. Step 2: Convert to fraction form
    75,145.40/103,697.90 = 43,315.64/x
  3. Step 3: Cross multiply
    75,145.40x = 103,697.90 × 43,315.64
  4. Step 4: Simplify right side
    75,145.40x = 4,491,740,905.16
  5. Step 5: Solve for x
    x = 4,491,740,905.16/75,145.40
  6. Step 6: Final answer
    x = 59,774.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.