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Finding the Fourth Proportional to 74,129.63, 102,298.95 and 42,308.78

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Solution

The fourth proportional to 74,129.63, 102,298.95 and 42,308.78 is: 58,386.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,129.63 : 102,298.95 = 42,308.78 : x
  2. Step 2: Convert to fraction form
    74,129.63/102,298.95 = 42,308.78/x
  3. Step 3: Cross multiply
    74,129.63x = 102,298.95 × 42,308.78
  4. Step 4: Simplify right side
    74,129.63x = 4,328,143,258.29
  5. Step 5: Solve for x
    x = 4,328,143,258.29/74,129.63
  6. Step 6: Final answer
    x = 58,386.15

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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.