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Finding the Fourth Proportional to 282,468.89, 423,703.20 and 72,106.76

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Solution

The fourth proportional to 282,468.89, 423,703.20 and 72,106.76 is: 108,160.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,468.89 : 423,703.20 = 72,106.76 : x
  2. Step 2: Convert to fraction form
    282,468.89/423,703.20 = 72,106.76/x
  3. Step 3: Cross multiply
    282,468.89x = 423,703.20 × 72,106.76
  4. Step 4: Simplify right side
    282,468.89x = 30,551,864,953.63
  5. Step 5: Solve for x
    x = 30,551,864,953.63/282,468.89
  6. Step 6: Final answer
    x = 108,160.11

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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.