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Finding the Fourth Proportional to 210,967.77, 291,077.96 and 120,290.67

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Solution

The fourth proportional to 210,967.77, 291,077.96 and 120,290.67 is: 165,968.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,967.77 : 291,077.96 = 120,290.67 : x
  2. Step 2: Convert to fraction form
    210,967.77/291,077.96 = 120,290.67/x
  3. Step 3: Cross multiply
    210,967.77x = 291,077.96 × 120,290.67
  4. Step 4: Simplify right side
    210,967.77x = 35,013,962,229.18
  5. Step 5: Solve for x
    x = 35,013,962,229.18/210,967.77
  6. Step 6: Final answer
    x = 165,968.30

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1.5x scale

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.