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Finding the Fourth Proportional to 208,059.80, 312,089.70 and 128,161.40

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Solution

The fourth proportional to 208,059.80, 312,089.70 and 128,161.40 is: 192,242.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,059.80 : 312,089.70 = 128,161.40 : x
  2. Step 2: Convert to fraction form
    208,059.80/312,089.70 = 128,161.40/x
  3. Step 3: Cross multiply
    208,059.80x = 312,089.70 × 128,161.40
  4. Step 4: Simplify right side
    208,059.80x = 39,997,852,877.58
  5. Step 5: Solve for x
    x = 39,997,852,877.58/208,059.80
  6. Step 6: Final answer
    x = 192,242.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.