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Finding the Fourth Proportional to 128,010.78, 192,038.04 and 56,959.20

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Solution

The fourth proportional to 128,010.78, 192,038.04 and 56,959.20 is: 85,448.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,010.78 : 192,038.04 = 56,959.20 : x
  2. Step 2: Convert to fraction form
    128,010.78/192,038.04 = 56,959.20/x
  3. Step 3: Cross multiply
    128,010.78x = 192,038.04 × 56,959.20
  4. Step 4: Simplify right side
    128,010.78x = 10,938,333,127.97
  5. Step 5: Solve for x
    x = 10,938,333,127.97/128,010.78
  6. Step 6: Final answer
    x = 85,448.53

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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.