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Finding the Fourth Proportional to 209,575.20, 314,362.80 and 76,411.20

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Solution

The fourth proportional to 209,575.20, 314,362.80 and 76,411.20 is: 114,616.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,575.20 : 314,362.80 = 76,411.20 : x
  2. Step 2: Convert to fraction form
    209,575.20/314,362.80 = 76,411.20/x
  3. Step 3: Cross multiply
    209,575.20x = 314,362.80 × 76,411.20
  4. Step 4: Simplify right side
    209,575.20x = 24,020,838,783.36
  5. Step 5: Solve for x
    x = 24,020,838,783.36/209,575.20
  6. Step 6: Final answer
    x = 114,616.80

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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.