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Finding the Fourth Proportional to 142,776.40, 214,164.60 and 76,421.20

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Solution

The fourth proportional to 142,776.40, 214,164.60 and 76,421.20 is: 114,631.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,776.40 : 214,164.60 = 76,421.20 : x
  2. Step 2: Convert to fraction form
    142,776.40/214,164.60 = 76,421.20/x
  3. Step 3: Cross multiply
    142,776.40x = 214,164.60 × 76,421.20
  4. Step 4: Simplify right side
    142,776.40x = 16,366,715,729.52
  5. Step 5: Solve for x
    x = 16,366,715,729.52/142,776.40
  6. Step 6: Final answer
    x = 114,631.80

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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.