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Finding the Fourth Proportional to 81,820.13, 112,913.16 and 53,525.81

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Solution

The fourth proportional to 81,820.13, 112,913.16 and 53,525.81 is: 73,866.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,820.13 : 112,913.16 = 53,525.81 : x
  2. Step 2: Convert to fraction form
    81,820.13/112,913.16 = 53,525.81/x
  3. Step 3: Cross multiply
    81,820.13x = 112,913.16 × 53,525.81
  4. Step 4: Simplify right side
    81,820.13x = 6,043,768,430.22
  5. Step 5: Solve for x
    x = 6,043,768,430.22/81,820.13
  6. Step 6: Final answer
    x = 73,866.53

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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.