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Finding the Fourth Proportional to 105,091, 145,025.06 and 57,344.20

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Solution

The fourth proportional to 105,091, 145,025.06 and 57,344.20 is: 79,134.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,091 : 145,025.06 = 57,344.20 : x
  2. Step 2: Convert to fraction form
    105,091/145,025.06 = 57,344.20/x
  3. Step 3: Cross multiply
    105,091x = 145,025.06 × 57,344.20
  4. Step 4: Simplify right side
    105,091x = 8,316,346,045.65
  5. Step 5: Solve for x
    x = 8,316,346,045.65/105,091
  6. Step 6: Final answer
    x = 79,134.71

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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.