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Finding the Fourth Proportional to 208,108.66, 287,119.66 and 135,478.40

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Solution

The fourth proportional to 208,108.66, 287,119.66 and 135,478.40 is: 186,914.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,108.66 : 287,119.66 = 135,478.40 : x
  2. Step 2: Convert to fraction form
    208,108.66/287,119.66 = 135,478.40/x
  3. Step 3: Cross multiply
    208,108.66x = 287,119.66 × 135,478.40
  4. Step 4: Simplify right side
    208,108.66x = 38,898,512,145.34
  5. Step 5: Solve for x
    x = 38,898,512,145.34/208,108.66
  6. Step 6: Final answer
    x = 186,914.43

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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.