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Finding the Fourth Proportional to 103,219.34, 154,829.25 and 28,340.51

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Solution

The fourth proportional to 103,219.34, 154,829.25 and 28,340.51 is: 42,510.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,219.34 : 154,829.25 = 28,340.51 : x
  2. Step 2: Convert to fraction form
    103,219.34/154,829.25 = 28,340.51/x
  3. Step 3: Cross multiply
    103,219.34x = 154,829.25 × 28,340.51
  4. Step 4: Simplify right side
    103,219.34x = 4,387,938,992.07
  5. Step 5: Solve for x
    x = 4,387,938,992.07/103,219.34
  6. Step 6: Final answer
    x = 42,510.82

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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.