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Finding the Fourth Proportional to 70,810.24, 97,721.64 and 38,978.80

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Solution

The fourth proportional to 70,810.24, 97,721.64 and 38,978.80 is: 53,792.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,810.24 : 97,721.64 = 38,978.80 : x
  2. Step 2: Convert to fraction form
    70,810.24/97,721.64 = 38,978.80/x
  3. Step 3: Cross multiply
    70,810.24x = 97,721.64 × 38,978.80
  4. Step 4: Simplify right side
    70,810.24x = 3,809,072,261.23
  5. Step 5: Solve for x
    x = 3,809,072,261.23/70,810.24
  6. Step 6: Final answer
    x = 53,792.68

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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.