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Finding the Fourth Proportional to 101,680.76, 152,574.32 and 73,830.86

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Solution

The fourth proportional to 101,680.76, 152,574.32 and 73,830.86 is: 110,784.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,680.76 : 152,574.32 = 73,830.86 : x
  2. Step 2: Convert to fraction form
    101,680.76/152,574.32 = 73,830.86/x
  3. Step 3: Cross multiply
    101,680.76x = 152,574.32 × 73,830.86
  4. Step 4: Simplify right side
    101,680.76x = 11,264,693,259.52
  5. Step 5: Solve for x
    x = 11,264,693,259.52/101,680.76
  6. Step 6: Final answer
    x = 110,784.90

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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.