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Finding the Fourth Proportional to 153,965.72, 230,971.80 and 65,219.60

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Solution

The fourth proportional to 153,965.72, 230,971.80 and 65,219.60 is: 97,839.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,965.72 : 230,971.80 = 65,219.60 : x
  2. Step 2: Convert to fraction form
    153,965.72/230,971.80 = 65,219.60/x
  3. Step 3: Cross multiply
    153,965.72x = 230,971.80 × 65,219.60
  4. Step 4: Simplify right side
    153,965.72x = 15,063,888,407.28
  5. Step 5: Solve for x
    x = 15,063,888,407.28/153,965.72
  6. Step 6: Final answer
    x = 97,839.24

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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.