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Finding the Fourth Proportional to 143,117.76, 214,748 and 64,288.32

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Solution

The fourth proportional to 143,117.76, 214,748 and 64,288.32 is: 96,464.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,117.76 : 214,748 = 64,288.32 : x
  2. Step 2: Convert to fraction form
    143,117.76/214,748 = 64,288.32/x
  3. Step 3: Cross multiply
    143,117.76x = 214,748 × 64,288.32
  4. Step 4: Simplify right side
    143,117.76x = 13,805,788,143.36
  5. Step 5: Solve for x
    x = 13,805,788,143.36/143,117.76
  6. Step 6: Final answer
    x = 96,464.53

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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.