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Finding the Fourth Proportional to 208,281.06, 287,428.91 and 112,788.13

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Solution

The fourth proportional to 208,281.06, 287,428.91 and 112,788.13 is: 155,648.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,281.06 : 287,428.91 = 112,788.13 : x
  2. Step 2: Convert to fraction form
    208,281.06/287,428.91 = 112,788.13/x
  3. Step 3: Cross multiply
    208,281.06x = 287,428.91 × 112,788.13
  4. Step 4: Simplify right side
    208,281.06x = 32,418,569,696.62
  5. Step 5: Solve for x
    x = 32,418,569,696.62/208,281.06
  6. Step 6: Final answer
    x = 155,648.19

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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.