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Finding the Fourth Proportional to 208,047.90, 312,071.85 and 83,478.30

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Solution

The fourth proportional to 208,047.90, 312,071.85 and 83,478.30 is: 125,217.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,047.90 : 312,071.85 = 83,478.30 : x
  2. Step 2: Convert to fraction form
    208,047.90/312,071.85 = 83,478.30/x
  3. Step 3: Cross multiply
    208,047.90x = 312,071.85 × 83,478.30
  4. Step 4: Simplify right side
    208,047.90x = 26,051,227,515.86
  5. Step 5: Solve for x
    x = 26,051,227,515.86/208,047.90
  6. Step 6: Final answer
    x = 125,217.45

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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.