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Finding the Fourth Proportional to 74,040, 102,176.64 and 40,506.72

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Solution

The fourth proportional to 74,040, 102,176.64 and 40,506.72 is: 55,900.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,040 : 102,176.64 = 40,506.72 : x
  2. Step 2: Convert to fraction form
    74,040/102,176.64 = 40,506.72/x
  3. Step 3: Cross multiply
    74,040x = 102,176.64 × 40,506.72
  4. Step 4: Simplify right side
    74,040x = 4,138,840,547.02
  5. Step 5: Solve for x
    x = 4,138,840,547.02/74,040
  6. Step 6: Final answer
    x = 55,900.06

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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.