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Finding the Fourth Proportional to 74,263.80, 102,457.12 and 48,783.89

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Solution

The fourth proportional to 74,263.80, 102,457.12 and 48,783.89 is: 67,304.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,263.80 : 102,457.12 = 48,783.89 : x
  2. Step 2: Convert to fraction form
    74,263.80/102,457.12 = 48,783.89/x
  3. Step 3: Cross multiply
    74,263.80x = 102,457.12 × 48,783.89
  4. Step 4: Simplify right side
    74,263.80x = 4,998,256,237.55
  5. Step 5: Solve for x
    x = 4,998,256,237.55/74,263.80
  6. Step 6: Final answer
    x = 67,304.07

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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.