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Finding the Fourth Proportional to 102,490.69, 153,783.51 and 39,289.69

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Solution

The fourth proportional to 102,490.69, 153,783.51 and 39,289.69 is: 58,952.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,490.69 : 153,783.51 = 39,289.69 : x
  2. Step 2: Convert to fraction form
    102,490.69/153,783.51 = 39,289.69/x
  3. Step 3: Cross multiply
    102,490.69x = 153,783.51 × 39,289.69
  4. Step 4: Simplify right side
    102,490.69x = 6,042,106,435.01
  5. Step 5: Solve for x
    x = 6,042,106,435.01/102,490.69
  6. Step 6: Final answer
    x = 58,952.74

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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.