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Finding the Fourth Proportional to 107,970.55, 161,955.84 and 57,981.88

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Solution

The fourth proportional to 107,970.55, 161,955.84 and 57,981.88 is: 86,972.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,970.55 : 161,955.84 = 57,981.88 : x
  2. Step 2: Convert to fraction form
    107,970.55/161,955.84 = 57,981.88/x
  3. Step 3: Cross multiply
    107,970.55x = 161,955.84 × 57,981.88
  4. Step 4: Simplify right side
    107,970.55x = 9,390,504,080.18
  5. Step 5: Solve for x
    x = 9,390,504,080.18/107,970.55
  6. Step 6: Final answer
    x = 86,972.83

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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.