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Finding the Fourth Proportional to 143,857.32, 215,848.16 and 77,219.55

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Solution

The fourth proportional to 143,857.32, 215,848.16 and 77,219.55 is: 115,862.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,857.32 : 215,848.16 = 77,219.55 : x
  2. Step 2: Convert to fraction form
    143,857.32/215,848.16 = 77,219.55/x
  3. Step 3: Cross multiply
    143,857.32x = 215,848.16 × 77,219.55
  4. Step 4: Simplify right side
    143,857.32x = 16,667,697,397.43
  5. Step 5: Solve for x
    x = 16,667,697,397.43/143,857.32
  6. Step 6: Final answer
    x = 115,862.70

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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.