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Finding the Fourth Proportional to 153,978.40, 230,967.60 and 144,647.20

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Solution

The fourth proportional to 153,978.40, 230,967.60 and 144,647.20 is: 216,970.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,978.40 : 230,967.60 = 144,647.20 : x
  2. Step 2: Convert to fraction form
    153,978.40/230,967.60 = 144,647.20/x
  3. Step 3: Cross multiply
    153,978.40x = 230,967.60 × 144,647.20
  4. Step 4: Simplify right side
    153,978.40x = 33,408,816,630.72
  5. Step 5: Solve for x
    x = 33,408,816,630.72/153,978.40
  6. Step 6: Final answer
    x = 216,970.80

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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.