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Finding the Fourth Proportional to 207,154.16, 310,515.68 and 140,599.68

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Solution

The fourth proportional to 207,154.16, 310,515.68 and 140,599.68 is: 210,753.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,154.16 : 310,515.68 = 140,599.68 : x
  2. Step 2: Convert to fraction form
    207,154.16/310,515.68 = 140,599.68/x
  3. Step 3: Cross multiply
    207,154.16x = 310,515.68 × 140,599.68
  4. Step 4: Simplify right side
    207,154.16x = 43,658,405,242.98
  5. Step 5: Solve for x
    x = 43,658,405,242.98/207,154.16
  6. Step 6: Final answer
    x = 210,753.22

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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.