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Finding the Fourth Proportional to 78,169.40, 117,411 and 46,640.99

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Solution

The fourth proportional to 78,169.40, 117,411 and 46,640.99 is: 70,055.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,169.40 : 117,411 = 46,640.99 : x
  2. Step 2: Convert to fraction form
    78,169.40/117,411 = 46,640.99/x
  3. Step 3: Cross multiply
    78,169.40x = 117,411 × 46,640.99
  4. Step 4: Simplify right side
    78,169.40x = 5,476,164,689.84
  5. Step 5: Solve for x
    x = 5,476,164,689.84/78,169.40
  6. Step 6: Final answer
    x = 70,055.10

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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.