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Finding the Fourth Proportional to 74,265.78, 102,492.21 and 42,434.01

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Solution

The fourth proportional to 74,265.78, 102,492.21 and 42,434.01 is: 58,562.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,265.78 : 102,492.21 = 42,434.01 : x
  2. Step 2: Convert to fraction form
    74,265.78/102,492.21 = 42,434.01/x
  3. Step 3: Cross multiply
    74,265.78x = 102,492.21 × 42,434.01
  4. Step 4: Simplify right side
    74,265.78x = 4,349,155,464.06
  5. Step 5: Solve for x
    x = 4,349,155,464.06/74,265.78
  6. Step 6: Final answer
    x = 58,562.04

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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.