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Finding the Fourth Proportional to 130,221, 179,706.06 and 70,605

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Solution

The fourth proportional to 130,221, 179,706.06 and 70,605 is: 97,435.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,221 : 179,706.06 = 70,605 : x
  2. Step 2: Convert to fraction form
    130,221/179,706.06 = 70,605/x
  3. Step 3: Cross multiply
    130,221x = 179,706.06 × 70,605
  4. Step 4: Simplify right side
    130,221x = 12,688,146,366.30
  5. Step 5: Solve for x
    x = 12,688,146,366.30/130,221
  6. Step 6: Final answer
    x = 97,435.49

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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.