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Finding the Fourth Proportional to 102,678.84, 153,667.80 and 86,057.64

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Solution

The fourth proportional to 102,678.84, 153,667.80 and 86,057.64 is: 128,792.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,678.84 : 153,667.80 = 86,057.64 : x
  2. Step 2: Convert to fraction form
    102,678.84/153,667.80 = 86,057.64/x
  3. Step 3: Cross multiply
    102,678.84x = 153,667.80 × 86,057.64
  4. Step 4: Simplify right side
    102,678.84x = 13,224,288,211.99
  5. Step 5: Solve for x
    x = 13,224,288,211.99/102,678.84
  6. Step 6: Final answer
    x = 128,792.73

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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.