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Finding the Fourth Proportional to 208,312.75, 312,483.75 and 83,653.75

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Solution

The fourth proportional to 208,312.75, 312,483.75 and 83,653.75 is: 125,486.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,312.75 : 312,483.75 = 83,653.75 : x
  2. Step 2: Convert to fraction form
    208,312.75/312,483.75 = 83,653.75/x
  3. Step 3: Cross multiply
    208,312.75x = 312,483.75 × 83,653.75
  4. Step 4: Simplify right side
    208,312.75x = 26,140,437,501.56
  5. Step 5: Solve for x
    x = 26,140,437,501.56/208,312.75
  6. Step 6: Final answer
    x = 125,486.50

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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.