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Finding the Fourth Proportional to 122,938.70, 183,970.65 and 85,322.30

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Solution

The fourth proportional to 122,938.70, 183,970.65 and 85,322.30 is: 127,679.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,938.70 : 183,970.65 = 85,322.30 : x
  2. Step 2: Convert to fraction form
    122,938.70/183,970.65 = 85,322.30/x
  3. Step 3: Cross multiply
    122,938.70x = 183,970.65 × 85,322.30
  4. Step 4: Simplify right side
    122,938.70x = 15,696,798,990.50
  5. Step 5: Solve for x
    x = 15,696,798,990.50/122,938.70
  6. Step 6: Final answer
    x = 127,679.88

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1.5x scale

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.