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Finding the Fourth Proportional to 208,164.72, 287,266.80 and 112,670.64

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Solution

The fourth proportional to 208,164.72, 287,266.80 and 112,670.64 is: 155,485.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,164.72 : 287,266.80 = 112,670.64 : x
  2. Step 2: Convert to fraction form
    208,164.72/287,266.80 = 112,670.64/x
  3. Step 3: Cross multiply
    208,164.72x = 287,266.80 × 112,670.64
  4. Step 4: Simplify right side
    208,164.72x = 32,366,534,206.75
  5. Step 5: Solve for x
    x = 32,366,534,206.75/208,164.72
  6. Step 6: Final answer
    x = 155,485.21

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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.