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Finding the Fourth Proportional to 100,949, 139,312.50 and 56,239.88

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Solution

The fourth proportional to 100,949, 139,312.50 and 56,239.88 is: 77,612.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,949 : 139,312.50 = 56,239.88 : x
  2. Step 2: Convert to fraction form
    100,949/139,312.50 = 56,239.88/x
  3. Step 3: Cross multiply
    100,949x = 139,312.50 × 56,239.88
  4. Step 4: Simplify right side
    100,949x = 7,834,918,282.50
  5. Step 5: Solve for x
    x = 7,834,918,282.50/100,949
  6. Step 6: Final answer
    x = 77,612.64

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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.