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Finding the Fourth Proportional to 137,802.78, 190,153.17 and 77,380.02

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Solution

The fourth proportional to 137,802.78, 190,153.17 and 77,380.02 is: 106,776.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,802.78 : 190,153.17 = 77,380.02 : x
  2. Step 2: Convert to fraction form
    137,802.78/190,153.17 = 77,380.02/x
  3. Step 3: Cross multiply
    137,802.78x = 190,153.17 × 77,380.02
  4. Step 4: Simplify right side
    137,802.78x = 14,714,056,097.66
  5. Step 5: Solve for x
    x = 14,714,056,097.66/137,802.78
  6. Step 6: Final answer
    x = 106,776.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.