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Finding the Fourth Proportional to 142,315.60, 213,477.72 and 48,820

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Solution

The fourth proportional to 142,315.60, 213,477.72 and 48,820 is: 73,231.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,315.60 : 213,477.72 = 48,820 : x
  2. Step 2: Convert to fraction form
    142,315.60/213,477.72 = 48,820/x
  3. Step 3: Cross multiply
    142,315.60x = 213,477.72 × 48,820
  4. Step 4: Simplify right side
    142,315.60x = 10,421,982,290.40
  5. Step 5: Solve for x
    x = 10,421,982,290.40/142,315.60
  6. Step 6: Final answer
    x = 73,231.48

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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.