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Finding the Fourth Proportional to 100,929, 139,282.08 and 56,217

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Solution

The fourth proportional to 100,929, 139,282.08 and 56,217 is: 77,579.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,929 : 139,282.08 = 56,217 : x
  2. Step 2: Convert to fraction form
    100,929/139,282.08 = 56,217/x
  3. Step 3: Cross multiply
    100,929x = 139,282.08 × 56,217
  4. Step 4: Simplify right side
    100,929x = 7,830,020,691.36
  5. Step 5: Solve for x
    x = 7,830,020,691.36/100,929
  6. Step 6: Final answer
    x = 77,579.49

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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.