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Finding the Fourth Proportional to 153,669.60, 230,504.40 and 142,734.60

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Solution

The fourth proportional to 153,669.60, 230,504.40 and 142,734.60 is: 214,101.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,669.60 : 230,504.40 = 142,734.60 : x
  2. Step 2: Convert to fraction form
    153,669.60/230,504.40 = 142,734.60/x
  3. Step 3: Cross multiply
    153,669.60x = 230,504.40 × 142,734.60
  4. Step 4: Simplify right side
    153,669.60x = 32,900,953,332.24
  5. Step 5: Solve for x
    x = 32,900,953,332.24/153,669.60
  6. Step 6: Final answer
    x = 214,101.90

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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.