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Finding the Fourth Proportional to 100,924.84, 139,282.50 and 56,212.84

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Solution

The fourth proportional to 100,924.84, 139,282.50 and 56,212.84 is: 77,577.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,924.84 : 139,282.50 = 56,212.84 : x
  2. Step 2: Convert to fraction form
    100,924.84/139,282.50 = 56,212.84/x
  3. Step 3: Cross multiply
    100,924.84x = 139,282.50 × 56,212.84
  4. Step 4: Simplify right side
    100,924.84x = 7,829,464,887.30
  5. Step 5: Solve for x
    x = 7,829,464,887.30/100,924.84
  6. Step 6: Final answer
    x = 77,577.18

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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.