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Finding the Fourth Proportional to 74,342.90, 102,678.40 and 48,962.70

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Solution

The fourth proportional to 74,342.90, 102,678.40 and 48,962.70 is: 67,624.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,342.90 : 102,678.40 = 48,962.70 : x
  2. Step 2: Convert to fraction form
    74,342.90/102,678.40 = 48,962.70/x
  3. Step 3: Cross multiply
    74,342.90x = 102,678.40 × 48,962.70
  4. Step 4: Simplify right side
    74,342.90x = 5,027,411,695.68
  5. Step 5: Solve for x
    x = 5,027,411,695.68/74,342.90
  6. Step 6: Final answer
    x = 67,624.64

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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.