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Finding the Fourth Proportional to 212,876.98, 319,323.01 and 52,953.74

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Solution

The fourth proportional to 212,876.98, 319,323.01 and 52,953.74 is: 79,432.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,876.98 : 319,323.01 = 52,953.74 : x
  2. Step 2: Convert to fraction form
    212,876.98/319,323.01 = 52,953.74/x
  3. Step 3: Cross multiply
    212,876.98x = 319,323.01 × 52,953.74
  4. Step 4: Simplify right side
    212,876.98x = 16,909,348,113.40
  5. Step 5: Solve for x
    x = 16,909,348,113.40/212,876.98
  6. Step 6: Final answer
    x = 79,432.49

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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.