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Finding the Fourth Proportional to 105,477.78, 145,553.17 and 57,732.02

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Solution

The fourth proportional to 105,477.78, 145,553.17 and 57,732.02 is: 79,666.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,477.78 : 145,553.17 = 57,732.02 : x
  2. Step 2: Convert to fraction form
    105,477.78/145,553.17 = 57,732.02/x
  3. Step 3: Cross multiply
    105,477.78x = 145,553.17 × 57,732.02
  4. Step 4: Simplify right side
    105,477.78x = 8,403,078,521.50
  5. Step 5: Solve for x
    x = 8,403,078,521.50/105,477.78
  6. Step 6: Final answer
    x = 79,666.81

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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.