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Finding the Fourth Proportional to 100,872, 139,207.68 and 56,160

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Solution

The fourth proportional to 100,872, 139,207.68 and 56,160 is: 77,503.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,872 : 139,207.68 = 56,160 : x
  2. Step 2: Convert to fraction form
    100,872/139,207.68 = 56,160/x
  3. Step 3: Cross multiply
    100,872x = 139,207.68 × 56,160
  4. Step 4: Simplify right side
    100,872x = 7,817,903,308.80
  5. Step 5: Solve for x
    x = 7,817,903,308.80/100,872
  6. Step 6: Final answer
    x = 77,503.21

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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.