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Finding the Fourth Proportional to 208,495, 287,721.48 and 112,999.24

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Solution

The fourth proportional to 208,495, 287,721.48 and 112,999.24 is: 155,938.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,495 : 287,721.48 = 112,999.24 : x
  2. Step 2: Convert to fraction form
    208,495/287,721.48 = 112,999.24/x
  3. Step 3: Cross multiply
    208,495x = 287,721.48 × 112,999.24
  4. Step 4: Simplify right side
    208,495x = 32,512,308,571.68
  5. Step 5: Solve for x
    x = 32,512,308,571.68/208,495
  6. Step 6: Final answer
    x = 155,938.07

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1.5x scale

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.