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Finding the Fourth Proportional to 208,220.16, 287,352 and 117,595.20

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Solution

The fourth proportional to 208,220.16, 287,352 and 117,595.20 is: 162,286.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,220.16 : 287,352 = 117,595.20 : x
  2. Step 2: Convert to fraction form
    208,220.16/287,352 = 117,595.20/x
  3. Step 3: Cross multiply
    208,220.16x = 287,352 × 117,595.20
  4. Step 4: Simplify right side
    208,220.16x = 33,791,215,910.40
  5. Step 5: Solve for x
    x = 33,791,215,910.40/208,220.16
  6. Step 6: Final answer
    x = 162,286.00

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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.