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Finding the Fourth Proportional to 210,005.65, 314,662.20 and 121,104.10

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Solution

The fourth proportional to 210,005.65, 314,662.20 and 121,104.10 is: 181,456.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,005.65 : 314,662.20 = 121,104.10 : x
  2. Step 2: Convert to fraction form
    210,005.65/314,662.20 = 121,104.10/x
  3. Step 3: Cross multiply
    210,005.65x = 314,662.20 × 121,104.10
  4. Step 4: Simplify right side
    210,005.65x = 38,106,882,535.02
  5. Step 5: Solve for x
    x = 38,106,882,535.02/210,005.65
  6. Step 6: Final answer
    x = 181,456.46

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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.