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Finding the Fourth Proportional to 131,875, 197,821.62 and 52,989.16

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Solution

The fourth proportional to 131,875, 197,821.62 and 52,989.16 is: 79,487.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,875 : 197,821.62 = 52,989.16 : x
  2. Step 2: Convert to fraction form
    131,875/197,821.62 = 52,989.16/x
  3. Step 3: Cross multiply
    131,875x = 197,821.62 × 52,989.16
  4. Step 4: Simplify right side
    131,875x = 10,482,401,473.64
  5. Step 5: Solve for x
    x = 10,482,401,473.64/131,875
  6. Step 6: Final answer
    x = 79,487.40

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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.