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Finding the Fourth Proportional to 142,908.60, 214,298.10 and 54,132.60

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Solution

The fourth proportional to 142,908.60, 214,298.10 and 54,132.60 is: 81,174.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,908.60 : 214,298.10 = 54,132.60 : x
  2. Step 2: Convert to fraction form
    142,908.60/214,298.10 = 54,132.60/x
  3. Step 3: Cross multiply
    142,908.60x = 214,298.10 × 54,132.60
  4. Step 4: Simplify right side
    142,908.60x = 11,600,513,328.06
  5. Step 5: Solve for x
    x = 11,600,513,328.06/142,908.60
  6. Step 6: Final answer
    x = 81,174.35

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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.