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Finding the Fourth Proportional to 143,054, 214,529.16 and 64,127.60

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Solution

The fourth proportional to 143,054, 214,529.16 and 64,127.60 is: 96,168.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,054 : 214,529.16 = 64,127.60 : x
  2. Step 2: Convert to fraction form
    143,054/214,529.16 = 64,127.60/x
  3. Step 3: Cross multiply
    143,054x = 214,529.16 × 64,127.60
  4. Step 4: Simplify right side
    143,054x = 13,757,240,160.82
  5. Step 5: Solve for x
    x = 13,757,240,160.82/143,054
  6. Step 6: Final answer
    x = 96,168.16

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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.