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Finding the Fourth Proportional to 142,871.40, 214,380 and 58,696.20

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Solution

The fourth proportional to 142,871.40, 214,380 and 58,696.20 is: 88,074.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,871.40 : 214,380 = 58,696.20 : x
  2. Step 2: Convert to fraction form
    142,871.40/214,380 = 58,696.20/x
  3. Step 3: Cross multiply
    142,871.40x = 214,380 × 58,696.20
  4. Step 4: Simplify right side
    142,871.40x = 12,583,291,356
  5. Step 5: Solve for x
    x = 12,583,291,356/142,871.40
  6. Step 6: Final answer
    x = 88,074.25

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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.