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Finding the Fourth Proportional to 73,952.88, 102,065.60 and 42,124.80

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Solution

The fourth proportional to 73,952.88, 102,065.60 and 42,124.80 is: 58,138.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,952.88 : 102,065.60 = 42,124.80 : x
  2. Step 2: Convert to fraction form
    73,952.88/102,065.60 = 42,124.80/x
  3. Step 3: Cross multiply
    73,952.88x = 102,065.60 × 42,124.80
  4. Step 4: Simplify right side
    73,952.88x = 4,299,492,986.88
  5. Step 5: Solve for x
    x = 4,299,492,986.88/73,952.88
  6. Step 6: Final answer
    x = 58,138.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.