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Finding the Fourth Proportional to 70,907.75, 97,852.71 and 38,642.38

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Solution

The fourth proportional to 70,907.75, 97,852.71 and 38,642.38 is: 53,326.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,907.75 : 97,852.71 = 38,642.38 : x
  2. Step 2: Convert to fraction form
    70,907.75/97,852.71 = 38,642.38/x
  3. Step 3: Cross multiply
    70,907.75x = 97,852.71 × 38,642.38
  4. Step 4: Simplify right side
    70,907.75x = 3,781,261,359.22
  5. Step 5: Solve for x
    x = 3,781,261,359.22/70,907.75
  6. Step 6: Final answer
    x = 53,326.49

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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.