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Finding the Fourth Proportional to 123,582.51, 170,486.51 and 72,578.70

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Solution

The fourth proportional to 123,582.51, 170,486.51 and 72,578.70 is: 100,124.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,582.51 : 170,486.51 = 72,578.70 : x
  2. Step 2: Convert to fraction form
    123,582.51/170,486.51 = 72,578.70/x
  3. Step 3: Cross multiply
    123,582.51x = 170,486.51 × 72,578.70
  4. Step 4: Simplify right side
    123,582.51x = 12,373,688,900.44
  5. Step 5: Solve for x
    x = 12,373,688,900.44/123,582.51
  6. Step 6: Final answer
    x = 100,124.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.