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Finding the Fourth Proportional to 78,718, 108,627.66 and 42,907.24

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Solution

The fourth proportional to 78,718, 108,627.66 and 42,907.24 is: 59,210.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,718 : 108,627.66 = 42,907.24 : x
  2. Step 2: Convert to fraction form
    78,718/108,627.66 = 42,907.24/x
  3. Step 3: Cross multiply
    78,718x = 108,627.66 × 42,907.24
  4. Step 4: Simplify right side
    78,718x = 4,660,913,078.26
  5. Step 5: Solve for x
    x = 4,660,913,078.26/78,718
  6. Step 6: Final answer
    x = 59,210.26

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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.