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Finding the Fourth Proportional to 117,139.86, 161,587 and 74,106

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Solution

The fourth proportional to 117,139.86, 161,587 and 74,106 is: 102,224.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,139.86 : 161,587 = 74,106 : x
  2. Step 2: Convert to fraction form
    117,139.86/161,587 = 74,106/x
  3. Step 3: Cross multiply
    117,139.86x = 161,587 × 74,106
  4. Step 4: Simplify right side
    117,139.86x = 11,974,566,222
  5. Step 5: Solve for x
    x = 11,974,566,222/117,139.86
  6. Step 6: Final answer
    x = 102,224.52

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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.