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Finding the Fourth Proportional to 101,029, 139,424.36 and 56,317

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Solution

The fourth proportional to 101,029, 139,424.36 and 56,317 is: 77,719.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,029 : 139,424.36 = 56,317 : x
  2. Step 2: Convert to fraction form
    101,029/139,424.36 = 56,317/x
  3. Step 3: Cross multiply
    101,029x = 139,424.36 × 56,317
  4. Step 4: Simplify right side
    101,029x = 7,851,961,682.12
  5. Step 5: Solve for x
    x = 7,851,961,682.12/101,029
  6. Step 6: Final answer
    x = 77,719.88

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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.