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Finding the Fourth Proportional to 101,214, 139,675.33 and 56,502

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Solution

The fourth proportional to 101,214, 139,675.33 and 56,502 is: 77,972.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,214 : 139,675.33 = 56,502 : x
  2. Step 2: Convert to fraction form
    101,214/139,675.33 = 56,502/x
  3. Step 3: Cross multiply
    101,214x = 139,675.33 × 56,502
  4. Step 4: Simplify right side
    101,214x = 7,891,935,495.66
  5. Step 5: Solve for x
    x = 7,891,935,495.66/101,214
  6. Step 6: Final answer
    x = 77,972.77

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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.