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Finding the Fourth Proportional to 70,700.32, 97,563.93 and 38,869

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Solution

The fourth proportional to 70,700.32, 97,563.93 and 38,869 is: 53,637.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,700.32 : 97,563.93 = 38,869 : x
  2. Step 2: Convert to fraction form
    70,700.32/97,563.93 = 38,869/x
  3. Step 3: Cross multiply
    70,700.32x = 97,563.93 × 38,869
  4. Step 4: Simplify right side
    70,700.32x = 3,792,212,395.17
  5. Step 5: Solve for x
    x = 3,792,212,395.17/70,700.32
  6. Step 6: Final answer
    x = 53,637.84

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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.