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Finding the Fourth Proportional to 78,307.82, 117,310.51 and 46,743.03

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Solution

The fourth proportional to 78,307.82, 117,310.51 and 46,743.03 is: 70,024.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,307.82 : 117,310.51 = 46,743.03 : x
  2. Step 2: Convert to fraction form
    78,307.82/117,310.51 = 46,743.03/x
  3. Step 3: Cross multiply
    78,307.82x = 117,310.51 × 46,743.03
  4. Step 4: Simplify right side
    78,307.82x = 5,483,448,688.25
  5. Step 5: Solve for x
    x = 5,483,448,688.25/78,307.82
  6. Step 6: Final answer
    x = 70,024.28

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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.