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Finding the Fourth Proportional to 102,857.61, 141,956.63 and 57,538.11

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Solution

The fourth proportional to 102,857.61, 141,956.63 and 57,538.11 is: 79,409.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,857.61 : 141,956.63 = 57,538.11 : x
  2. Step 2: Convert to fraction form
    102,857.61/141,956.63 = 57,538.11/x
  3. Step 3: Cross multiply
    102,857.61x = 141,956.63 × 57,538.11
  4. Step 4: Simplify right side
    102,857.61x = 8,167,916,192.17
  5. Step 5: Solve for x
    x = 8,167,916,192.17/102,857.61
  6. Step 6: Final answer
    x = 79,409.94

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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.