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Finding the Fourth Proportional to 142,935, 214,411.59 and 48,157.44

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Solution

The fourth proportional to 142,935, 214,411.59 and 48,157.44 is: 72,239.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,935 : 214,411.59 = 48,157.44 : x
  2. Step 2: Convert to fraction form
    142,935/214,411.59 = 48,157.44/x
  3. Step 3: Cross multiply
    142,935x = 214,411.59 × 48,157.44
  4. Step 4: Simplify right side
    142,935x = 10,325,513,280.73
  5. Step 5: Solve for x
    x = 10,325,513,280.73/142,935
  6. Step 6: Final answer
    x = 72,239.22

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1.5x scale

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.