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Finding the Fourth Proportional to 210,154.80, 314,958.60 and 85,350

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Solution

The fourth proportional to 210,154.80, 314,958.60 and 85,350 is: 127,913.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,154.80 : 314,958.60 = 85,350 : x
  2. Step 2: Convert to fraction form
    210,154.80/314,958.60 = 85,350/x
  3. Step 3: Cross multiply
    210,154.80x = 314,958.60 × 85,350
  4. Step 4: Simplify right side
    210,154.80x = 26,881,716,510.00
  5. Step 5: Solve for x
    x = 26,881,716,510.00/210,154.80
  6. Step 6: Final answer
    x = 127,913.88

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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.