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Finding the Fourth Proportional to 247,435.84, 370,972 and 78,859.16

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Solution

The fourth proportional to 247,435.84, 370,972 and 78,859.16 is: 118,230.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,435.84 : 370,972 = 78,859.16 : x
  2. Step 2: Convert to fraction form
    247,435.84/370,972 = 78,859.16/x
  3. Step 3: Cross multiply
    247,435.84x = 370,972 × 78,859.16
  4. Step 4: Simplify right side
    247,435.84x = 29,254,540,303.52
  5. Step 5: Solve for x
    x = 29,254,540,303.52/247,435.84
  6. Step 6: Final answer
    x = 118,230.81

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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.