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Finding the Fourth Proportional to 153,938.40, 230,907.60 and 142,128.60

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Solution

The fourth proportional to 153,938.40, 230,907.60 and 142,128.60 is: 213,192.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,938.40 : 230,907.60 = 142,128.60 : x
  2. Step 2: Convert to fraction form
    153,938.40/230,907.60 = 142,128.60/x
  3. Step 3: Cross multiply
    153,938.40x = 230,907.60 × 142,128.60
  4. Step 4: Simplify right side
    153,938.40x = 32,818,573,917.36
  5. Step 5: Solve for x
    x = 32,818,573,917.36/153,938.40
  6. Step 6: Final answer
    x = 213,192.90

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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.