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Finding the Fourth Proportional to 247,083.84, 370,652.98 and 78,564.74

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Solution

The fourth proportional to 247,083.84, 370,652.98 and 78,564.74 is: 117,855.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,083.84 : 370,652.98 = 78,564.74 : x
  2. Step 2: Convert to fraction form
    247,083.84/370,652.98 = 78,564.74/x
  3. Step 3: Cross multiply
    247,083.84x = 370,652.98 × 78,564.74
  4. Step 4: Simplify right side
    247,083.84x = 29,120,255,003.93
  5. Step 5: Solve for x
    x = 29,120,255,003.93/247,083.84
  6. Step 6: Final answer
    x = 117,855.77

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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.