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Finding the Fourth Proportional to 112,083, 154,677.84 and 61,785.24

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Solution

The fourth proportional to 112,083, 154,677.84 and 61,785.24 is: 85,265.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,083 : 154,677.84 = 61,785.24 : x
  2. Step 2: Convert to fraction form
    112,083/154,677.84 = 61,785.24/x
  3. Step 3: Cross multiply
    112,083x = 154,677.84 × 61,785.24
  4. Step 4: Simplify right side
    112,083x = 9,556,807,467.08
  5. Step 5: Solve for x
    x = 9,556,807,467.08/112,083
  6. Step 6: Final answer
    x = 85,265.45

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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.