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Finding the Fourth Proportional to 74,101.92, 102,259.68 and 42,271.34

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Solution

The fourth proportional to 74,101.92, 102,259.68 and 42,271.34 is: 58,333.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,101.92 : 102,259.68 = 42,271.34 : x
  2. Step 2: Convert to fraction form
    74,101.92/102,259.68 = 42,271.34/x
  3. Step 3: Cross multiply
    74,101.92x = 102,259.68 × 42,271.34
  4. Step 4: Simplify right side
    74,101.92x = 4,322,653,701.57
  5. Step 5: Solve for x
    x = 4,322,653,701.57/74,101.92
  6. Step 6: Final answer
    x = 58,333.90

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1.5x scale

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.