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Finding the Fourth Proportional to 130,384, 179,930.08 and 70,768

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Solution

The fourth proportional to 130,384, 179,930.08 and 70,768 is: 97,659.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,384 : 179,930.08 = 70,768 : x
  2. Step 2: Convert to fraction form
    130,384/179,930.08 = 70,768/x
  3. Step 3: Cross multiply
    130,384x = 179,930.08 × 70,768
  4. Step 4: Simplify right side
    130,384x = 12,733,291,901.44
  5. Step 5: Solve for x
    x = 12,733,291,901.44/130,384
  6. Step 6: Final answer
    x = 97,659.93

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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.