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Finding the Fourth Proportional to 100,836, 139,153.68 and 56,123.04

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Solution

The fourth proportional to 100,836, 139,153.68 and 56,123.04 is: 77,449.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,836 : 139,153.68 = 56,123.04 : x
  2. Step 2: Convert to fraction form
    100,836/139,153.68 = 56,123.04/x
  3. Step 3: Cross multiply
    100,836x = 139,153.68 × 56,123.04
  4. Step 4: Simplify right side
    100,836x = 7,809,727,548.79
  5. Step 5: Solve for x
    x = 7,809,727,548.79/100,836
  6. Step 6: Final answer
    x = 77,449.80

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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.