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Finding the Fourth Proportional to 90,053.68, 135,048.12 and 30,873.46

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Solution

The fourth proportional to 90,053.68, 135,048.12 and 30,873.46 is: 46,299.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,053.68 : 135,048.12 = 30,873.46 : x
  2. Step 2: Convert to fraction form
    90,053.68/135,048.12 = 30,873.46/x
  3. Step 3: Cross multiply
    90,053.68x = 135,048.12 × 30,873.46
  4. Step 4: Simplify right side
    90,053.68x = 4,169,402,730.90
  5. Step 5: Solve for x
    x = 4,169,402,730.90/90,053.68
  6. Step 6: Final answer
    x = 46,299.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.