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Finding the Fourth Proportional to 210,542.77, 315,830.22 and 70,301.39

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Solution

The fourth proportional to 210,542.77, 315,830.22 and 70,301.39 is: 105,457.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,542.77 : 315,830.22 = 70,301.39 : x
  2. Step 2: Convert to fraction form
    210,542.77/315,830.22 = 70,301.39/x
  3. Step 3: Cross multiply
    210,542.77x = 315,830.22 × 70,301.39
  4. Step 4: Simplify right side
    210,542.77x = 22,203,303,118.50
  5. Step 5: Solve for x
    x = 22,203,303,118.50/210,542.77
  6. Step 6: Final answer
    x = 105,457.45

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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.