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Finding the Fourth Proportional to 81,473.10, 112,448.64 and 53,129.58

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Solution

The fourth proportional to 81,473.10, 112,448.64 and 53,129.58 is: 73,329.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,473.10 : 112,448.64 = 53,129.58 : x
  2. Step 2: Convert to fraction form
    81,473.10/112,448.64 = 53,129.58/x
  3. Step 3: Cross multiply
    81,473.10x = 112,448.64 × 53,129.58
  4. Step 4: Simplify right side
    81,473.10x = 5,974,349,014.77
  5. Step 5: Solve for x
    x = 5,974,349,014.77/81,473.10
  6. Step 6: Final answer
    x = 73,329.10

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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.