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Finding the Fourth Proportional to 90,030.61, 135,052.49 and 30,865.78

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Solution

The fourth proportional to 90,030.61, 135,052.49 and 30,865.78 is: 46,300.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,030.61 : 135,052.49 = 30,865.78 : x
  2. Step 2: Convert to fraction form
    90,030.61/135,052.49 = 30,865.78/x
  3. Step 3: Cross multiply
    90,030.61x = 135,052.49 × 30,865.78
  4. Step 4: Simplify right side
    90,030.61x = 4,168,500,444.79
  5. Step 5: Solve for x
    x = 4,168,500,444.79/90,030.61
  6. Step 6: Final answer
    x = 46,300.92

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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.