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Finding the Fourth Proportional to 107,712.85, 161,569.28 and 85,405.45

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Solution

The fourth proportional to 107,712.85, 161,569.28 and 85,405.45 is: 128,108.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,712.85 : 161,569.28 = 85,405.45 : x
  2. Step 2: Convert to fraction form
    107,712.85/161,569.28 = 85,405.45/x
  3. Step 3: Cross multiply
    107,712.85x = 161,569.28 × 85,405.45
  4. Step 4: Simplify right side
    107,712.85x = 13,798,897,064.58
  5. Step 5: Solve for x
    x = 13,798,897,064.58/107,712.85
  6. Step 6: Final answer
    x = 128,108.18

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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.