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Finding the Fourth Proportional to 243,686.40, 365,529.60 and 77,491.20

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Solution

The fourth proportional to 243,686.40, 365,529.60 and 77,491.20 is: 116,236.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,686.40 : 365,529.60 = 77,491.20 : x
  2. Step 2: Convert to fraction form
    243,686.40/365,529.60 = 77,491.20/x
  3. Step 3: Cross multiply
    243,686.40x = 365,529.60 × 77,491.20
  4. Step 4: Simplify right side
    243,686.40x = 28,325,327,339.52
  5. Step 5: Solve for x
    x = 28,325,327,339.52/243,686.40
  6. Step 6: Final answer
    x = 116,236.80

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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.