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Finding the Fourth Proportional to 212,953.10, 319,429.65 and 156,965.90

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Solution

The fourth proportional to 212,953.10, 319,429.65 and 156,965.90 is: 235,448.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,953.10 : 319,429.65 = 156,965.90 : x
  2. Step 2: Convert to fraction form
    212,953.10/319,429.65 = 156,965.90/x
  3. Step 3: Cross multiply
    212,953.10x = 319,429.65 × 156,965.90
  4. Step 4: Simplify right side
    212,953.10x = 50,139,562,498.94
  5. Step 5: Solve for x
    x = 50,139,562,498.94/212,953.10
  6. Step 6: Final answer
    x = 235,448.85

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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.