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Finding the Fourth Proportional to 78,693.79, 118,053.76 and 31,309.33

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Solution

The fourth proportional to 78,693.79, 118,053.76 and 31,309.33 is: 46,969.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,693.79 : 118,053.76 = 31,309.33 : x
  2. Step 2: Convert to fraction form
    78,693.79/118,053.76 = 31,309.33/x
  3. Step 3: Cross multiply
    78,693.79x = 118,053.76 × 31,309.33
  4. Step 4: Simplify right side
    78,693.79x = 3,696,184,129.58
  5. Step 5: Solve for x
    x = 3,696,184,129.58/78,693.79
  6. Step 6: Final answer
    x = 46,969.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.