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Finding the Fourth Proportional to 130,030, 179,441.40 and 70,414

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Solution

The fourth proportional to 130,030, 179,441.40 and 70,414 is: 97,171.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,030 : 179,441.40 = 70,414 : x
  2. Step 2: Convert to fraction form
    130,030/179,441.40 = 70,414/x
  3. Step 3: Cross multiply
    130,030x = 179,441.40 × 70,414
  4. Step 4: Simplify right side
    130,030x = 12,635,186,739.60
  5. Step 5: Solve for x
    x = 12,635,186,739.60/130,030
  6. Step 6: Final answer
    x = 97,171.32

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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.