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Finding the Fourth Proportional to 102,005.15, 153,007.73 and 86,914.85

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Solution

The fourth proportional to 102,005.15, 153,007.73 and 86,914.85 is: 130,372.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,005.15 : 153,007.73 = 86,914.85 : x
  2. Step 2: Convert to fraction form
    102,005.15/153,007.73 = 86,914.85/x
  3. Step 3: Cross multiply
    102,005.15x = 153,007.73 × 86,914.85
  4. Step 4: Simplify right side
    102,005.15x = 13,298,643,901.79
  5. Step 5: Solve for x
    x = 13,298,643,901.79/102,005.15
  6. Step 6: Final answer
    x = 130,372.28

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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.