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Finding the Fourth Proportional to 208,509.40, 312,764.10 and 103,533.40

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Solution

The fourth proportional to 208,509.40, 312,764.10 and 103,533.40 is: 155,300.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,509.40 : 312,764.10 = 103,533.40 : x
  2. Step 2: Convert to fraction form
    208,509.40/312,764.10 = 103,533.40/x
  3. Step 3: Cross multiply
    208,509.40x = 312,764.10 × 103,533.40
  4. Step 4: Simplify right side
    208,509.40x = 32,381,530,670.94
  5. Step 5: Solve for x
    x = 32,381,530,670.94/208,509.40
  6. Step 6: Final answer
    x = 155,300.10

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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.