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Finding the Fourth Proportional to 74,133.52, 102,312.84 and 42,307

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Solution

The fourth proportional to 74,133.52, 102,312.84 and 42,307 is: 58,388.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,133.52 : 102,312.84 = 42,307 : x
  2. Step 2: Convert to fraction form
    74,133.52/102,312.84 = 42,307/x
  3. Step 3: Cross multiply
    74,133.52x = 102,312.84 × 42,307
  4. Step 4: Simplify right side
    74,133.52x = 4,328,549,321.88
  5. Step 5: Solve for x
    x = 4,328,549,321.88/74,133.52
  6. Step 6: Final answer
    x = 58,388.56

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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.