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Finding the Fourth Proportional to 142,281.44, 213,484.08 and 67,454

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Solution

The fourth proportional to 142,281.44, 213,484.08 and 67,454 is: 101,210.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,281.44 : 213,484.08 = 67,454 : x
  2. Step 2: Convert to fraction form
    142,281.44/213,484.08 = 67,454/x
  3. Step 3: Cross multiply
    142,281.44x = 213,484.08 × 67,454
  4. Step 4: Simplify right side
    142,281.44x = 14,400,355,132.32
  5. Step 5: Solve for x
    x = 14,400,355,132.32/142,281.44
  6. Step 6: Final answer
    x = 101,210.36

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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.