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Finding the Fourth Proportional to 85,407.93, 128,128.32 and 29,256.71

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Solution

The fourth proportional to 85,407.93, 128,128.32 and 29,256.71 is: 43,890.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,407.93 : 128,128.32 = 29,256.71 : x
  2. Step 2: Convert to fraction form
    85,407.93/128,128.32 = 29,256.71/x
  3. Step 3: Cross multiply
    85,407.93x = 128,128.32 × 29,256.71
  4. Step 4: Simplify right side
    85,407.93x = 3,748,612,460.39
  5. Step 5: Solve for x
    x = 3,748,612,460.39/85,407.93
  6. Step 6: Final answer
    x = 43,890.68

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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.