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Finding the Fourth Proportional to 153,868.80, 230,630.40 and 65,107.20

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Solution

The fourth proportional to 153,868.80, 230,630.40 and 65,107.20 is: 97,587.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,868.80 : 230,630.40 = 65,107.20 : x
  2. Step 2: Convert to fraction form
    153,868.80/230,630.40 = 65,107.20/x
  3. Step 3: Cross multiply
    153,868.80x = 230,630.40 × 65,107.20
  4. Step 4: Simplify right side
    153,868.80x = 15,015,699,578.88
  5. Step 5: Solve for x
    x = 15,015,699,578.88/153,868.80
  6. Step 6: Final answer
    x = 97,587.68

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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.