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Finding the Fourth Proportional to 219,985.47, 330,005.09 and 77,801.31

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Solution

The fourth proportional to 219,985.47, 330,005.09 and 77,801.31 is: 116,711.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,985.47 : 330,005.09 = 77,801.31 : x
  2. Step 2: Convert to fraction form
    219,985.47/330,005.09 = 77,801.31/x
  3. Step 3: Cross multiply
    219,985.47x = 330,005.09 × 77,801.31
  4. Step 4: Simplify right side
    219,985.47x = 25,674,828,065.54
  5. Step 5: Solve for x
    x = 25,674,828,065.54/219,985.47
  6. Step 6: Final answer
    x = 116,711.47

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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.