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Finding the Fourth Proportional to 208,428.52, 287,642.64 and 117,788.28

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Solution

The fourth proportional to 208,428.52, 287,642.64 and 117,788.28 is: 162,554.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,428.52 : 287,642.64 = 117,788.28 : x
  2. Step 2: Convert to fraction form
    208,428.52/287,642.64 = 117,788.28/x
  3. Step 3: Cross multiply
    208,428.52x = 287,642.64 × 117,788.28
  4. Step 4: Simplify right side
    208,428.52x = 33,880,931,820.26
  5. Step 5: Solve for x
    x = 33,880,931,820.26/208,428.52
  6. Step 6: Final answer
    x = 162,554.20

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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.