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Finding the Fourth Proportional to 208,848.10, 288,210.71 and 113,354.84

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Solution

The fourth proportional to 208,848.10, 288,210.71 and 113,354.84 is: 156,429.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,848.10 : 288,210.71 = 113,354.84 : x
  2. Step 2: Convert to fraction form
    208,848.10/288,210.71 = 113,354.84/x
  3. Step 3: Cross multiply
    208,848.10x = 288,210.71 × 113,354.84
  4. Step 4: Simplify right side
    208,848.10x = 32,670,076,910.51
  5. Step 5: Solve for x
    x = 32,670,076,910.51/208,848.10
  6. Step 6: Final answer
    x = 156,429.85

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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.