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Finding the Fourth Proportional to 85,155.84, 127,733.12 and 21,970.58

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Solution

The fourth proportional to 85,155.84, 127,733.12 and 21,970.58 is: 32,955.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,155.84 : 127,733.12 = 21,970.58 : x
  2. Step 2: Convert to fraction form
    85,155.84/127,733.12 = 21,970.58/x
  3. Step 3: Cross multiply
    85,155.84x = 127,733.12 × 21,970.58
  4. Step 4: Simplify right side
    85,155.84x = 2,806,370,731.61
  5. Step 5: Solve for x
    x = 2,806,370,731.61/85,155.84
  6. Step 6: Final answer
    x = 32,955.70

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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.