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Finding the Fourth Proportional to 254,355.01, 381,242.28 and 102,454.81

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Solution

The fourth proportional to 254,355.01, 381,242.28 and 102,454.81 is: 153,565.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,355.01 : 381,242.28 = 102,454.81 : x
  2. Step 2: Convert to fraction form
    254,355.01/381,242.28 = 102,454.81/x
  3. Step 3: Cross multiply
    254,355.01x = 381,242.28 × 102,454.81
  4. Step 4: Simplify right side
    254,355.01x = 39,060,106,130.50
  5. Step 5: Solve for x
    x = 39,060,106,130.50/254,355.01
  6. Step 6: Final answer
    x = 153,565.31

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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.