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Finding the Fourth Proportional to 208,956.88, 288,353.04 and 113,461.60

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Solution

The fourth proportional to 208,956.88, 288,353.04 and 113,461.60 is: 156,572.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,956.88 : 288,353.04 = 113,461.60 : x
  2. Step 2: Convert to fraction form
    208,956.88/288,353.04 = 113,461.60/x
  3. Step 3: Cross multiply
    208,956.88x = 288,353.04 × 113,461.60
  4. Step 4: Simplify right side
    208,956.88x = 32,716,997,283.26
  5. Step 5: Solve for x
    x = 32,716,997,283.26/208,956.88
  6. Step 6: Final answer
    x = 156,572.96

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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.