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Finding the Fourth Proportional to 208,368.78, 287,548.56 and 112,877.88

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Solution

The fourth proportional to 208,368.78, 287,548.56 and 112,877.88 is: 155,771.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,368.78 : 287,548.56 = 112,877.88 : x
  2. Step 2: Convert to fraction form
    208,368.78/287,548.56 = 112,877.88/x
  3. Step 3: Cross multiply
    208,368.78x = 287,548.56 × 112,877.88
  4. Step 4: Simplify right side
    208,368.78x = 32,457,871,849.85
  5. Step 5: Solve for x
    x = 32,457,871,849.85/208,368.78
  6. Step 6: Final answer
    x = 155,771.28

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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.