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Finding the Fourth Proportional to 210,574.65, 315,894.80 and 126,315.01

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Solution

The fourth proportional to 210,574.65, 315,894.80 and 126,315.01 is: 189,492.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,574.65 : 315,894.80 = 126,315.01 : x
  2. Step 2: Convert to fraction form
    210,574.65/315,894.80 = 126,315.01/x
  3. Step 3: Cross multiply
    210,574.65x = 315,894.80 × 126,315.01
  4. Step 4: Simplify right side
    210,574.65x = 39,902,255,531.60
  5. Step 5: Solve for x
    x = 39,902,255,531.60/210,574.65
  6. Step 6: Final answer
    x = 189,492.21

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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.