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Finding the Fourth Proportional to 208,386.54, 287,572.50 and 112,893.48

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Solution

The fourth proportional to 208,386.54, 287,572.50 and 112,893.48 is: 155,792.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,386.54 : 287,572.50 = 112,893.48 : x
  2. Step 2: Convert to fraction form
    208,386.54/287,572.50 = 112,893.48/x
  3. Step 3: Cross multiply
    208,386.54x = 287,572.50 × 112,893.48
  4. Step 4: Simplify right side
    208,386.54x = 32,465,060,277.30
  5. Step 5: Solve for x
    x = 32,465,060,277.30/208,386.54
  6. Step 6: Final answer
    x = 155,792.50

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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.