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Finding the Fourth Proportional to 153,245.60, 229,868.40 and 142,186.40

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Solution

The fourth proportional to 153,245.60, 229,868.40 and 142,186.40 is: 213,279.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,245.60 : 229,868.40 = 142,186.40 : x
  2. Step 2: Convert to fraction form
    153,245.60/229,868.40 = 142,186.40/x
  3. Step 3: Cross multiply
    153,245.60x = 229,868.40 × 142,186.40
  4. Step 4: Simplify right side
    153,245.60x = 32,684,160,269.76
  5. Step 5: Solve for x
    x = 32,684,160,269.76/153,245.60
  6. Step 6: Final answer
    x = 213,279.60

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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.