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Finding the Fourth Proportional to 107,101.78, 147,797.94 and 61,779.85

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Solution

The fourth proportional to 107,101.78, 147,797.94 and 61,779.85 is: 85,254.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,101.78 : 147,797.94 = 61,779.85 : x
  2. Step 2: Convert to fraction form
    107,101.78/147,797.94 = 61,779.85/x
  3. Step 3: Cross multiply
    107,101.78x = 147,797.94 × 61,779.85
  4. Step 4: Simplify right side
    107,101.78x = 9,130,934,563.51
  5. Step 5: Solve for x
    x = 9,130,934,563.51/107,101.78
  6. Step 6: Final answer
    x = 85,254.74

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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.