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Finding the Fourth Proportional to 74,490.64, 102,802.12 and 40,956.56

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Solution

The fourth proportional to 74,490.64, 102,802.12 and 40,956.56 is: 56,522.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,490.64 : 102,802.12 = 40,956.56 : x
  2. Step 2: Convert to fraction form
    74,490.64/102,802.12 = 40,956.56/x
  3. Step 3: Cross multiply
    74,490.64x = 102,802.12 × 40,956.56
  4. Step 4: Simplify right side
    74,490.64x = 4,210,421,195.91
  5. Step 5: Solve for x
    x = 4,210,421,195.91/74,490.64
  6. Step 6: Final answer
    x = 56,522.82

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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.