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Finding the Fourth Proportional to 74,062, 102,205.56 and 40,528

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Solution

The fourth proportional to 74,062, 102,205.56 and 40,528 is: 55,928.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,062 : 102,205.56 = 40,528 : x
  2. Step 2: Convert to fraction form
    74,062/102,205.56 = 40,528/x
  3. Step 3: Cross multiply
    74,062x = 102,205.56 × 40,528
  4. Step 4: Simplify right side
    74,062x = 4,142,186,935.68
  5. Step 5: Solve for x
    x = 4,142,186,935.68/74,062
  6. Step 6: Final answer
    x = 55,928.64

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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.