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Finding the Fourth Proportional to 142,565.76, 213,776.64 and 83,419.20

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Solution

The fourth proportional to 142,565.76, 213,776.64 and 83,419.20 is: 125,086.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,565.76 : 213,776.64 = 83,419.20 : x
  2. Step 2: Convert to fraction form
    142,565.76/213,776.64 = 83,419.20/x
  3. Step 3: Cross multiply
    142,565.76x = 213,776.64 × 83,419.20
  4. Step 4: Simplify right side
    142,565.76x = 17,833,076,287.49
  5. Step 5: Solve for x
    x = 17,833,076,287.49/142,565.76
  6. Step 6: Final answer
    x = 125,086.67

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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.