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Finding the Fourth Proportional to 210,969.78, 291,080.71 and 120,292.67

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Solution

The fourth proportional to 210,969.78, 291,080.71 and 120,292.67 is: 165,971.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,969.78 : 291,080.71 = 120,292.67 : x
  2. Step 2: Convert to fraction form
    210,969.78/291,080.71 = 120,292.67/x
  3. Step 3: Cross multiply
    210,969.78x = 291,080.71 × 120,292.67
  4. Step 4: Simplify right side
    210,969.78x = 35,014,875,791.40
  5. Step 5: Solve for x
    x = 35,014,875,791.40/210,969.78
  6. Step 6: Final answer
    x = 165,971.05

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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.