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Finding the Fourth Proportional to 208,915.36, 288,303.69 and 113,420.01

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Solution

The fourth proportional to 208,915.36, 288,303.69 and 113,420.01 is: 156,519.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,915.36 : 288,303.69 = 113,420.01 : x
  2. Step 2: Convert to fraction form
    208,915.36/288,303.69 = 113,420.01/x
  3. Step 3: Cross multiply
    208,915.36x = 288,303.69 × 113,420.01
  4. Step 4: Simplify right side
    208,915.36x = 32,699,407,402.84
  5. Step 5: Solve for x
    x = 32,699,407,402.84/208,915.36
  6. Step 6: Final answer
    x = 156,519.88

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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.