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Finding the Fourth Proportional to 100,007.94, 138,045.72 and 57,583.38

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Solution

The fourth proportional to 100,007.94, 138,045.72 and 57,583.38 is: 79,485.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,007.94 : 138,045.72 = 57,583.38 : x
  2. Step 2: Convert to fraction form
    100,007.94/138,045.72 = 57,583.38/x
  3. Step 3: Cross multiply
    100,007.94x = 138,045.72 × 57,583.38
  4. Step 4: Simplify right side
    100,007.94x = 7,949,139,152.13
  5. Step 5: Solve for x
    x = 7,949,139,152.13/100,007.94
  6. Step 6: Final answer
    x = 79,485.08

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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.