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Finding the Fourth Proportional to 153,830.71, 230,770.46 and 65,084.88

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Solution

The fourth proportional to 153,830.71, 230,770.46 and 65,084.88 is: 97,637.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,830.71 : 230,770.46 = 65,084.88 : x
  2. Step 2: Convert to fraction form
    153,830.71/230,770.46 = 65,084.88/x
  3. Step 3: Cross multiply
    153,830.71x = 230,770.46 × 65,084.88
  4. Step 4: Simplify right side
    153,830.71x = 15,019,666,217.37
  5. Step 5: Solve for x
    x = 15,019,666,217.37/153,830.71
  6. Step 6: Final answer
    x = 97,637.63

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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.