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Finding the Fourth Proportional to 70,582.51, 97,384.84 and 40,361.60

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Solution

The fourth proportional to 70,582.51, 97,384.84 and 40,361.60 is: 55,688.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,582.51 : 97,384.84 = 40,361.60 : x
  2. Step 2: Convert to fraction form
    70,582.51/97,384.84 = 40,361.60/x
  3. Step 3: Cross multiply
    70,582.51x = 97,384.84 × 40,361.60
  4. Step 4: Simplify right side
    70,582.51x = 3,930,607,958.14
  5. Step 5: Solve for x
    x = 3,930,607,958.14/70,582.51
  6. Step 6: Final answer
    x = 55,688.13

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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.