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Finding the Fourth Proportional to 130,342, 179,871.96 and 70,726

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Solution

The fourth proportional to 130,342, 179,871.96 and 70,726 is: 97,601.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,342 : 179,871.96 = 70,726 : x
  2. Step 2: Convert to fraction form
    130,342/179,871.96 = 70,726/x
  3. Step 3: Cross multiply
    130,342x = 179,871.96 × 70,726
  4. Step 4: Simplify right side
    130,342x = 12,721,624,242.96
  5. Step 5: Solve for x
    x = 12,721,624,242.96/130,342
  6. Step 6: Final answer
    x = 97,601.88

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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.