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Finding the Fourth Proportional to 153,971.20, 230,828.80 and 65,292.80

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Solution

The fourth proportional to 153,971.20, 230,828.80 and 65,292.80 is: 97,884.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,971.20 : 230,828.80 = 65,292.80 : x
  2. Step 2: Convert to fraction form
    153,971.20/230,828.80 = 65,292.80/x
  3. Step 3: Cross multiply
    153,971.20x = 230,828.80 × 65,292.80
  4. Step 4: Simplify right side
    153,971.20x = 15,071,458,672.64
  5. Step 5: Solve for x
    x = 15,071,458,672.64/153,971.20
  6. Step 6: Final answer
    x = 97,884.92

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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.