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Finding the Fourth Proportional to 208,848, 288,210.52 and 113,354.70

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Solution

The fourth proportional to 208,848, 288,210.52 and 113,354.70 is: 156,429.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,848 : 288,210.52 = 113,354.70 : x
  2. Step 2: Convert to fraction form
    208,848/288,210.52 = 113,354.70/x
  3. Step 3: Cross multiply
    208,848x = 288,210.52 × 113,354.70
  4. Step 4: Simplify right side
    208,848x = 32,670,017,031.44
  5. Step 5: Solve for x
    x = 32,670,017,031.44/208,848
  6. Step 6: Final answer
    x = 156,429.64

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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.