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Finding the Fourth Proportional to 61,678.84, 85,072.89 and 42,565.90

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Solution

The fourth proportional to 61,678.84, 85,072.89 and 42,565.90 is: 58,710.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,678.84 : 85,072.89 = 42,565.90 : x
  2. Step 2: Convert to fraction form
    61,678.84/85,072.89 = 42,565.90/x
  3. Step 3: Cross multiply
    61,678.84x = 85,072.89 × 42,565.90
  4. Step 4: Simplify right side
    61,678.84x = 3,621,204,128.45
  5. Step 5: Solve for x
    x = 3,621,204,128.45/61,678.84
  6. Step 6: Final answer
    x = 58,710.64

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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.