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Finding the Fourth Proportional to 153,921.80, 230,688.30 and 74,865.80

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Solution

The fourth proportional to 153,921.80, 230,688.30 and 74,865.80 is: 112,204.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,921.80 : 230,688.30 = 74,865.80 : x
  2. Step 2: Convert to fraction form
    153,921.80/230,688.30 = 74,865.80/x
  3. Step 3: Cross multiply
    153,921.80x = 230,688.30 × 74,865.80
  4. Step 4: Simplify right side
    153,921.80x = 17,270,664,130.14
  5. Step 5: Solve for x
    x = 17,270,664,130.14/153,921.80
  6. Step 6: Final answer
    x = 112,204.15

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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.