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Finding the Fourth Proportional to 142,903.40, 214,385.82 and 48,143

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Solution

The fourth proportional to 142,903.40, 214,385.82 and 48,143 is: 72,224.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,903.40 : 214,385.82 = 48,143 : x
  2. Step 2: Convert to fraction form
    142,903.40/214,385.82 = 48,143/x
  3. Step 3: Cross multiply
    142,903.40x = 214,385.82 × 48,143
  4. Step 4: Simplify right side
    142,903.40x = 10,321,176,532.26
  5. Step 5: Solve for x
    x = 10,321,176,532.26/142,903.40
  6. Step 6: Final answer
    x = 72,224.85

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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.