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Finding the Fourth Proportional to 105,165.65, 145,134.50 and 57,423.44

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Solution

The fourth proportional to 105,165.65, 145,134.50 and 57,423.44 is: 79,247.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,165.65 : 145,134.50 = 57,423.44 : x
  2. Step 2: Convert to fraction form
    105,165.65/145,134.50 = 57,423.44/x
  3. Step 3: Cross multiply
    105,165.65x = 145,134.50 × 57,423.44
  4. Step 4: Simplify right side
    105,165.65x = 8,334,121,239.89
  5. Step 5: Solve for x
    x = 8,334,121,239.89/105,165.65
  6. Step 6: Final answer
    x = 79,247.56

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1.5x scale

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.