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Finding the Fourth Proportional to 208,160.56, 287,275.44 and 117,484.32

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Solution

The fourth proportional to 208,160.56, 287,275.44 and 117,484.32 is: 162,136.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,160.56 : 287,275.44 = 117,484.32 : x
  2. Step 2: Convert to fraction form
    208,160.56/287,275.44 = 117,484.32/x
  3. Step 3: Cross multiply
    208,160.56x = 287,275.44 × 117,484.32
  4. Step 4: Simplify right side
    208,160.56x = 33,750,359,721.10
  5. Step 5: Solve for x
    x = 33,750,359,721.10/208,160.56
  6. Step 6: Final answer
    x = 162,136.19

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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.