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Finding the Fourth Proportional to 134,557, 185,688.66 and 74,941

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Solution

The fourth proportional to 134,557, 185,688.66 and 74,941 is: 103,418.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,557 : 185,688.66 = 74,941 : x
  2. Step 2: Convert to fraction form
    134,557/185,688.66 = 74,941/x
  3. Step 3: Cross multiply
    134,557x = 185,688.66 × 74,941
  4. Step 4: Simplify right side
    134,557x = 13,915,693,869.06
  5. Step 5: Solve for x
    x = 13,915,693,869.06/134,557
  6. Step 6: Final answer
    x = 103,418.58

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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.