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Finding the Fourth Proportional to 74,282, 102,510.88 and 40,748

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Solution

The fourth proportional to 74,282, 102,510.88 and 40,748 is: 56,233.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,282 : 102,510.88 = 40,748 : x
  2. Step 2: Convert to fraction form
    74,282/102,510.88 = 40,748/x
  3. Step 3: Cross multiply
    74,282x = 102,510.88 × 40,748
  4. Step 4: Simplify right side
    74,282x = 4,177,113,338.24
  5. Step 5: Solve for x
    x = 4,177,113,338.24/74,282
  6. Step 6: Final answer
    x = 56,233.18

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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.