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Finding the Fourth Proportional to 74,330.38, 102,580.98 and 42,065.02

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Solution

The fourth proportional to 74,330.38, 102,580.98 and 42,065.02 is: 58,052.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,330.38 : 102,580.98 = 42,065.02 : x
  2. Step 2: Convert to fraction form
    74,330.38/102,580.98 = 42,065.02/x
  3. Step 3: Cross multiply
    74,330.38x = 102,580.98 × 42,065.02
  4. Step 4: Simplify right side
    74,330.38x = 4,315,070,975.32
  5. Step 5: Solve for x
    x = 4,315,070,975.32/74,330.38
  6. Step 6: Final answer
    x = 58,052.59

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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.