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Finding the Fourth Proportional to 242,743.20, 364,114.80 and 158,762.40

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Solution

The fourth proportional to 242,743.20, 364,114.80 and 158,762.40 is: 238,143.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,743.20 : 364,114.80 = 158,762.40 : x
  2. Step 2: Convert to fraction form
    242,743.20/364,114.80 = 158,762.40/x
  3. Step 3: Cross multiply
    242,743.20x = 364,114.80 × 158,762.40
  4. Step 4: Simplify right side
    242,743.20x = 57,807,739,523.52
  5. Step 5: Solve for x
    x = 57,807,739,523.52/242,743.20
  6. Step 6: Final answer
    x = 238,143.60

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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.