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Finding the Fourth Proportional to 102,064, 140,849.04 and 57,352

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Solution

The fourth proportional to 102,064, 140,849.04 and 57,352 is: 79,146.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,064 : 140,849.04 = 57,352 : x
  2. Step 2: Convert to fraction form
    102,064/140,849.04 = 57,352/x
  3. Step 3: Cross multiply
    102,064x = 140,849.04 × 57,352
  4. Step 4: Simplify right side
    102,064x = 8,077,974,142.08
  5. Step 5: Solve for x
    x = 8,077,974,142.08/102,064
  6. Step 6: Final answer
    x = 79,146.16

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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.