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Finding the Fourth Proportional to 123,470.64, 185,186.65 and 39,219.72

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Solution

The fourth proportional to 123,470.64, 185,186.65 and 39,219.72 is: 58,823.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,470.64 : 185,186.65 = 39,219.72 : x
  2. Step 2: Convert to fraction form
    123,470.64/185,186.65 = 39,219.72/x
  3. Step 3: Cross multiply
    123,470.64x = 185,186.65 × 39,219.72
  4. Step 4: Simplify right side
    123,470.64x = 7,262,968,560.74
  5. Step 5: Solve for x
    x = 7,262,968,560.74/123,470.64
  6. Step 6: Final answer
    x = 58,823.45

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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.