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Finding the Fourth Proportional to 208,270.84, 312,341.68 and 75,133.80

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Solution

The fourth proportional to 208,270.84, 312,341.68 and 75,133.80 is: 112,677.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,270.84 : 312,341.68 = 75,133.80 : x
  2. Step 2: Convert to fraction form
    208,270.84/312,341.68 = 75,133.80/x
  3. Step 3: Cross multiply
    208,270.84x = 312,341.68 × 75,133.80
  4. Step 4: Simplify right side
    208,270.84x = 23,467,417,316.78
  5. Step 5: Solve for x
    x = 23,467,417,316.78/208,270.84
  6. Step 6: Final answer
    x = 112,677.40

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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.