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Finding the Fourth Proportional to 40,802.31, 61,214.90 and 14,509.71

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Solution

The fourth proportional to 40,802.31, 61,214.90 and 14,509.71 is: 21,768.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,802.31 : 61,214.90 = 14,509.71 : x
  2. Step 2: Convert to fraction form
    40,802.31/61,214.90 = 14,509.71/x
  3. Step 3: Cross multiply
    40,802.31x = 61,214.90 × 14,509.71
  4. Step 4: Simplify right side
    40,802.31x = 888,210,374.13
  5. Step 5: Solve for x
    x = 888,210,374.13/40,802.31
  6. Step 6: Final answer
    x = 21,768.63

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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.