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Finding the Fourth Proportional to 74,345.97, 102,597.47 and 40,354.45

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Solution

The fourth proportional to 74,345.97, 102,597.47 and 40,354.45 is: 55,689.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,345.97 : 102,597.47 = 40,354.45 : x
  2. Step 2: Convert to fraction form
    74,345.97/102,597.47 = 40,354.45/x
  3. Step 3: Cross multiply
    74,345.97x = 102,597.47 × 40,354.45
  4. Step 4: Simplify right side
    74,345.97x = 4,140,264,743.42
  5. Step 5: Solve for x
    x = 4,140,264,743.42/74,345.97
  6. Step 6: Final answer
    x = 55,689.16

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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.