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Finding the Fourth Proportional to 83,362.06, 115,039.65 and 45,636.31

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Solution

The fourth proportional to 83,362.06, 115,039.65 and 45,636.31 is: 62,978.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,362.06 : 115,039.65 = 45,636.31 : x
  2. Step 2: Convert to fraction form
    83,362.06/115,039.65 = 45,636.31/x
  3. Step 3: Cross multiply
    83,362.06x = 115,039.65 × 45,636.31
  4. Step 4: Simplify right side
    83,362.06x = 5,249,985,531.38
  5. Step 5: Solve for x
    x = 5,249,985,531.38/83,362.06
  6. Step 6: Final answer
    x = 62,978.11

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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.