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Finding the Fourth Proportional to 102,542.58, 153,812.88 and 32,421.90

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Solution

The fourth proportional to 102,542.58, 153,812.88 and 32,421.90 is: 48,632.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,542.58 : 153,812.88 = 32,421.90 : x
  2. Step 2: Convert to fraction form
    102,542.58/153,812.88 = 32,421.90/x
  3. Step 3: Cross multiply
    102,542.58x = 153,812.88 × 32,421.90
  4. Step 4: Simplify right side
    102,542.58x = 4,986,905,814.07
  5. Step 5: Solve for x
    x = 4,986,905,814.07/102,542.58
  6. Step 6: Final answer
    x = 48,632.54

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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.