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Finding the Fourth Proportional to 254,595.76, 381,312.23 and 121,569.66

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Solution

The fourth proportional to 254,595.76, 381,312.23 and 121,569.66 is: 182,076.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,595.76 : 381,312.23 = 121,569.66 : x
  2. Step 2: Convert to fraction form
    254,595.76/381,312.23 = 121,569.66/x
  3. Step 3: Cross multiply
    254,595.76x = 381,312.23 × 121,569.66
  4. Step 4: Simplify right side
    254,595.76x = 46,355,997,547.09
  5. Step 5: Solve for x
    x = 46,355,997,547.09/254,595.76
  6. Step 6: Final answer
    x = 182,076.87

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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.