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Finding the Fourth Proportional to 153,886.80, 230,797.80 and 65,143.20

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Solution

The fourth proportional to 153,886.80, 230,797.80 and 65,143.20 is: 97,701.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,886.80 : 230,797.80 = 65,143.20 : x
  2. Step 2: Convert to fraction form
    153,886.80/230,797.80 = 65,143.20/x
  3. Step 3: Cross multiply
    153,886.80x = 230,797.80 × 65,143.20
  4. Step 4: Simplify right side
    153,886.80x = 15,034,907,244.96
  5. Step 5: Solve for x
    x = 15,034,907,244.96/153,886.80
  6. Step 6: Final answer
    x = 97,701.08

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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.