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Finding the Fourth Proportional to 61,101.42, 84,293.91 and 42,205.74

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Solution

The fourth proportional to 61,101.42, 84,293.91 and 42,205.74 is: 58,225.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,101.42 : 84,293.91 = 42,205.74 : x
  2. Step 2: Convert to fraction form
    61,101.42/84,293.91 = 42,205.74/x
  3. Step 3: Cross multiply
    61,101.42x = 84,293.91 × 42,205.74
  4. Step 4: Simplify right side
    61,101.42x = 3,557,686,849.04
  5. Step 5: Solve for x
    x = 3,557,686,849.04/61,101.42
  6. Step 6: Final answer
    x = 58,225.93

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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.