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Finding the Fourth Proportional to 208,840.51, 288,200.70 and 113,347.22

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Solution

The fourth proportional to 208,840.51, 288,200.70 and 113,347.22 is: 156,419.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,840.51 : 288,200.70 = 113,347.22 : x
  2. Step 2: Convert to fraction form
    208,840.51/288,200.70 = 113,347.22/x
  3. Step 3: Cross multiply
    208,840.51x = 288,200.70 × 113,347.22
  4. Step 4: Simplify right side
    208,840.51x = 32,666,746,706.05
  5. Step 5: Solve for x
    x = 32,666,746,706.05/208,840.51
  6. Step 6: Final answer
    x = 156,419.59

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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.