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Finding the Fourth Proportional to 213,507.66, 320,152.68 and 71,301.78

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Solution

The fourth proportional to 213,507.66, 320,152.68 and 71,301.78 is: 106,916.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,507.66 : 320,152.68 = 71,301.78 : x
  2. Step 2: Convert to fraction form
    213,507.66/320,152.68 = 71,301.78/x
  3. Step 3: Cross multiply
    213,507.66x = 320,152.68 × 71,301.78
  4. Step 4: Simplify right side
    213,507.66x = 22,827,455,955.77
  5. Step 5: Solve for x
    x = 22,827,455,955.77/213,507.66
  6. Step 6: Final answer
    x = 106,916.33

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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.