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Finding the Fourth Proportional to 123,673.12, 185,509.84 and 30,178.40

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Solution

The fourth proportional to 123,673.12, 185,509.84 and 30,178.40 is: 45,267.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,673.12 : 185,509.84 = 30,178.40 : x
  2. Step 2: Convert to fraction form
    123,673.12/185,509.84 = 30,178.40/x
  3. Step 3: Cross multiply
    123,673.12x = 185,509.84 × 30,178.40
  4. Step 4: Simplify right side
    123,673.12x = 5,598,390,155.46
  5. Step 5: Solve for x
    x = 5,598,390,155.46/123,673.12
  6. Step 6: Final answer
    x = 45,267.64

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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.