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Finding the Fourth Proportional to 70,405.81, 97,161.02 and 42,106.03

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Solution

The fourth proportional to 70,405.81, 97,161.02 and 42,106.03 is: 58,106.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,405.81 : 97,161.02 = 42,106.03 : x
  2. Step 2: Convert to fraction form
    70,405.81/97,161.02 = 42,106.03/x
  3. Step 3: Cross multiply
    70,405.81x = 97,161.02 × 42,106.03
  4. Step 4: Simplify right side
    70,405.81x = 4,091,064,527.42
  5. Step 5: Solve for x
    x = 4,091,064,527.42/70,405.81
  6. Step 6: Final answer
    x = 58,106.92

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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.