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Finding the Fourth Proportional to 142,798.40, 214,197.60 and 54,054.80

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Solution

The fourth proportional to 142,798.40, 214,197.60 and 54,054.80 is: 81,082.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,798.40 : 214,197.60 = 54,054.80 : x
  2. Step 2: Convert to fraction form
    142,798.40/214,197.60 = 54,054.80/x
  3. Step 3: Cross multiply
    142,798.40x = 214,197.60 × 54,054.80
  4. Step 4: Simplify right side
    142,798.40x = 11,578,408,428.48
  5. Step 5: Solve for x
    x = 11,578,408,428.48/142,798.40
  6. Step 6: Final answer
    x = 81,082.20

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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.