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Finding the Fourth Proportional to 208,262, 312,405.12 and 58,513.96

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Solution

The fourth proportional to 208,262, 312,405.12 and 58,513.96 is: 87,774.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,262 : 312,405.12 = 58,513.96 : x
  2. Step 2: Convert to fraction form
    208,262/312,405.12 = 58,513.96/x
  3. Step 3: Cross multiply
    208,262x = 312,405.12 × 58,513.96
  4. Step 4: Simplify right side
    208,262x = 18,280,060,695.48
  5. Step 5: Solve for x
    x = 18,280,060,695.48/208,262
  6. Step 6: Final answer
    x = 87,774.35

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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.