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Finding the Fourth Proportional to 123,911.76, 185,871.28 and 30,417.50

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Solution

The fourth proportional to 123,911.76, 185,871.28 and 30,417.50 is: 45,627.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,911.76 : 185,871.28 = 30,417.50 : x
  2. Step 2: Convert to fraction form
    123,911.76/185,871.28 = 30,417.50/x
  3. Step 3: Cross multiply
    123,911.76x = 185,871.28 × 30,417.50
  4. Step 4: Simplify right side
    123,911.76x = 5,653,739,659.40
  5. Step 5: Solve for x
    x = 5,653,739,659.40/123,911.76
  6. Step 6: Final answer
    x = 45,627.14

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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.