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Finding the Fourth Proportional to 142,678.40, 214,105.08 and 63,859.28

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Solution

The fourth proportional to 142,678.40, 214,105.08 and 63,859.28 is: 95,828.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,678.40 : 214,105.08 = 63,859.28 : x
  2. Step 2: Convert to fraction form
    142,678.40/214,105.08 = 63,859.28/x
  3. Step 3: Cross multiply
    142,678.40x = 214,105.08 × 63,859.28
  4. Step 4: Simplify right side
    142,678.40x = 13,672,596,253.14
  5. Step 5: Solve for x
    x = 13,672,596,253.14/142,678.40
  6. Step 6: Final answer
    x = 95,828.07

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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.