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Finding the Fourth Proportional to 101,129, 139,558.08 and 56,417

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Solution

The fourth proportional to 101,129, 139,558.08 and 56,417 is: 77,855.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,129 : 139,558.08 = 56,417 : x
  2. Step 2: Convert to fraction form
    101,129/139,558.08 = 56,417/x
  3. Step 3: Cross multiply
    101,129x = 139,558.08 × 56,417
  4. Step 4: Simplify right side
    101,129x = 7,873,448,199.36
  5. Step 5: Solve for x
    x = 7,873,448,199.36/101,129
  6. Step 6: Final answer
    x = 77,855.49

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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.