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Finding the Fourth Proportional to 130,097, 179,533.86 and 70,481

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Solution

The fourth proportional to 130,097, 179,533.86 and 70,481 is: 97,263.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,097 : 179,533.86 = 70,481 : x
  2. Step 2: Convert to fraction form
    130,097/179,533.86 = 70,481/x
  3. Step 3: Cross multiply
    130,097x = 179,533.86 × 70,481
  4. Step 4: Simplify right side
    130,097x = 12,653,725,986.66
  5. Step 5: Solve for x
    x = 12,653,725,986.66/130,097
  6. Step 6: Final answer
    x = 97,263.78

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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.