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Finding the Fourth Proportional to 130,363, 179,900.96 and 70,747

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Solution

The fourth proportional to 130,363, 179,900.96 and 70,747 is: 97,630.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,363 : 179,900.96 = 70,747 : x
  2. Step 2: Convert to fraction form
    130,363/179,900.96 = 70,747/x
  3. Step 3: Cross multiply
    130,363x = 179,900.96 × 70,747
  4. Step 4: Simplify right side
    130,363x = 12,727,453,217.12
  5. Step 5: Solve for x
    x = 12,727,453,217.12/130,363
  6. Step 6: Final answer
    x = 97,630.87

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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.