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Finding the Fourth Proportional to 102,390.76, 153,574.62 and 28,524.52

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Solution

The fourth proportional to 102,390.76, 153,574.62 and 28,524.52 is: 42,783.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,390.76 : 153,574.62 = 28,524.52 : x
  2. Step 2: Convert to fraction form
    102,390.76/153,574.62 = 28,524.52/x
  3. Step 3: Cross multiply
    102,390.76x = 153,574.62 × 28,524.52
  4. Step 4: Simplify right side
    102,390.76x = 4,380,642,319.68
  5. Step 5: Solve for x
    x = 4,380,642,319.68/102,390.76
  6. Step 6: Final answer
    x = 42,783.57

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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.