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Finding the Fourth Proportional to 123,530.40, 185,344.20 and 48,637.80

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Solution

The fourth proportional to 123,530.40, 185,344.20 and 48,637.80 is: 72,975.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,530.40 : 185,344.20 = 48,637.80 : x
  2. Step 2: Convert to fraction form
    123,530.40/185,344.20 = 48,637.80/x
  3. Step 3: Cross multiply
    123,530.40x = 185,344.20 × 48,637.80
  4. Step 4: Simplify right side
    123,530.40x = 9,014,734,130.76
  5. Step 5: Solve for x
    x = 9,014,734,130.76/123,530.40
  6. Step 6: Final answer
    x = 72,975.84

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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.