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Finding the Fourth Proportional to 255,113.41, 382,725.47 and 77,615.81

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Solution

The fourth proportional to 255,113.41, 382,725.47 and 77,615.81 is: 116,440.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,113.41 : 382,725.47 = 77,615.81 : x
  2. Step 2: Convert to fraction form
    255,113.41/382,725.47 = 77,615.81/x
  3. Step 3: Cross multiply
    255,113.41x = 382,725.47 × 77,615.81
  4. Step 4: Simplify right side
    255,113.41x = 29,705,547,361.68
  5. Step 5: Solve for x
    x = 29,705,547,361.68/255,113.41
  6. Step 6: Final answer
    x = 116,440.56

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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.