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Finding the Fourth Proportional to 153,262.80, 229,880.52 and 53,406

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Solution

The fourth proportional to 153,262.80, 229,880.52 and 53,406 is: 80,104.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,262.80 : 229,880.52 = 53,406 : x
  2. Step 2: Convert to fraction form
    153,262.80/229,880.52 = 53,406/x
  3. Step 3: Cross multiply
    153,262.80x = 229,880.52 × 53,406
  4. Step 4: Simplify right side
    153,262.80x = 12,276,999,051.12
  5. Step 5: Solve for x
    x = 12,276,999,051.12/153,262.80
  6. Step 6: Final answer
    x = 80,104.23

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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.