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Finding the Fourth Proportional to 153,661.42, 230,438.82 and 53,819.40

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Solution

The fourth proportional to 153,661.42, 230,438.82 and 53,819.40 is: 80,710.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,661.42 : 230,438.82 = 53,819.40 : x
  2. Step 2: Convert to fraction form
    153,661.42/230,438.82 = 53,819.40/x
  3. Step 3: Cross multiply
    153,661.42x = 230,438.82 × 53,819.40
  4. Step 4: Simplify right side
    153,661.42x = 12,402,079,029.11
  5. Step 5: Solve for x
    x = 12,402,079,029.11/153,661.42
  6. Step 6: Final answer
    x = 80,710.43

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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.