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Finding the Fourth Proportional to 130,236, 179,725.76 and 70,620

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Solution

The fourth proportional to 130,236, 179,725.76 and 70,620 is: 97,455.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,236 : 179,725.76 = 70,620 : x
  2. Step 2: Convert to fraction form
    130,236/179,725.76 = 70,620/x
  3. Step 3: Cross multiply
    130,236x = 179,725.76 × 70,620
  4. Step 4: Simplify right side
    130,236x = 12,692,233,171.20
  5. Step 5: Solve for x
    x = 12,692,233,171.20/130,236
  6. Step 6: Final answer
    x = 97,455.64

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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.