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Finding the Fourth Proportional to 81,802.59, 112,849.68 and 47,812.51

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Solution

The fourth proportional to 81,802.59, 112,849.68 and 47,812.51 is: 65,959.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,802.59 : 112,849.68 = 47,812.51 : x
  2. Step 2: Convert to fraction form
    81,802.59/112,849.68 = 47,812.51/x
  3. Step 3: Cross multiply
    81,802.59x = 112,849.68 × 47,812.51
  4. Step 4: Simplify right side
    81,802.59x = 5,395,626,453.50
  5. Step 5: Solve for x
    x = 5,395,626,453.50/81,802.59
  6. Step 6: Final answer
    x = 65,959.12

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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.