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Finding the Fourth Proportional to 107,077.12, 147,762.44 and 61,757

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Solution

The fourth proportional to 107,077.12, 147,762.44 and 61,757 is: 85,222.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,077.12 : 147,762.44 = 61,757 : x
  2. Step 2: Convert to fraction form
    107,077.12/147,762.44 = 61,757/x
  3. Step 3: Cross multiply
    107,077.12x = 147,762.44 × 61,757
  4. Step 4: Simplify right side
    107,077.12x = 9,125,365,007.08
  5. Step 5: Solve for x
    x = 9,125,365,007.08/107,077.12
  6. Step 6: Final answer
    x = 85,222.36

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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.