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Finding the Fourth Proportional to 223,913.40, 335,870.10 and 157,428.60

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Solution

The fourth proportional to 223,913.40, 335,870.10 and 157,428.60 is: 236,142.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,913.40 : 335,870.10 = 157,428.60 : x
  2. Step 2: Convert to fraction form
    223,913.40/335,870.10 = 157,428.60/x
  3. Step 3: Cross multiply
    223,913.40x = 335,870.10 × 157,428.60
  4. Step 4: Simplify right side
    223,913.40x = 52,875,559,624.86
  5. Step 5: Solve for x
    x = 52,875,559,624.86/223,913.40
  6. Step 6: Final answer
    x = 236,142.90

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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.