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Finding the Fourth Proportional to 208,038.24, 312,089.76 and 67,764.24

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Solution

The fourth proportional to 208,038.24, 312,089.76 and 67,764.24 is: 101,656.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,038.24 : 312,089.76 = 67,764.24 : x
  2. Step 2: Convert to fraction form
    208,038.24/312,089.76 = 67,764.24/x
  3. Step 3: Cross multiply
    208,038.24x = 312,089.76 × 67,764.24
  4. Step 4: Simplify right side
    208,038.24x = 21,148,525,398.18
  5. Step 5: Solve for x
    x = 21,148,525,398.18/208,038.24
  6. Step 6: Final answer
    x = 101,656.91

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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.