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Finding the Fourth Proportional to 78,065.81, 117,114.92 and 31,322.33

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Solution

The fourth proportional to 78,065.81, 117,114.92 and 31,322.33 is: 46,990.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,065.81 : 117,114.92 = 31,322.33 : x
  2. Step 2: Convert to fraction form
    78,065.81/117,114.92 = 31,322.33/x
  3. Step 3: Cross multiply
    78,065.81x = 117,114.92 × 31,322.33
  4. Step 4: Simplify right side
    78,065.81x = 3,668,312,172.16
  5. Step 5: Solve for x
    x = 3,668,312,172.16/78,065.81
  6. Step 6: Final answer
    x = 46,990.00

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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.