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Finding the Fourth Proportional to 142,830.64, 214,178.81 and 52,811.16

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Solution

The fourth proportional to 142,830.64, 214,178.81 and 52,811.16 is: 79,191.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,830.64 : 214,178.81 = 52,811.16 : x
  2. Step 2: Convert to fraction form
    142,830.64/214,178.81 = 52,811.16/x
  3. Step 3: Cross multiply
    142,830.64x = 214,178.81 × 52,811.16
  4. Step 4: Simplify right side
    142,830.64x = 11,311,031,403.52
  5. Step 5: Solve for x
    x = 11,311,031,403.52/142,830.64
  6. Step 6: Final answer
    x = 79,191.91

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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.