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Finding the Fourth Proportional to 102,206.01, 153,309.06 and 45,980.46

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Solution

The fourth proportional to 102,206.01, 153,309.06 and 45,980.46 is: 68,970.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,206.01 : 153,309.06 = 45,980.46 : x
  2. Step 2: Convert to fraction form
    102,206.01/153,309.06 = 45,980.46/x
  3. Step 3: Cross multiply
    102,206.01x = 153,309.06 × 45,980.46
  4. Step 4: Simplify right side
    102,206.01x = 7,049,221,100.97
  5. Step 5: Solve for x
    x = 7,049,221,100.97/102,206.01
  6. Step 6: Final answer
    x = 68,970.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.