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Finding the Fourth Proportional to 94,975.20, 142,495.20 and 42,400.80

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Solution

The fourth proportional to 94,975.20, 142,495.20 and 42,400.80 is: 63,615.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,975.20 : 142,495.20 = 42,400.80 : x
  2. Step 2: Convert to fraction form
    94,975.20/142,495.20 = 42,400.80/x
  3. Step 3: Cross multiply
    94,975.20x = 142,495.20 × 42,400.80
  4. Step 4: Simplify right side
    94,975.20x = 6,041,910,476.16
  5. Step 5: Solve for x
    x = 6,041,910,476.16/94,975.20
  6. Step 6: Final answer
    x = 63,615.66

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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.