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Finding the Fourth Proportional to 74,730, 103,129.56 and 41,198.16

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Solution

The fourth proportional to 74,730, 103,129.56 and 41,198.16 is: 56,854.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,730 : 103,129.56 = 41,198.16 : x
  2. Step 2: Convert to fraction form
    74,730/103,129.56 = 41,198.16/x
  3. Step 3: Cross multiply
    74,730x = 103,129.56 × 41,198.16
  4. Step 4: Simplify right side
    74,730x = 4,248,748,113.61
  5. Step 5: Solve for x
    x = 4,248,748,113.61/74,730
  6. Step 6: Final answer
    x = 56,854.65

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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.