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Finding the Fourth Proportional to 191,306.64, 286,820.64 and 90,069.60

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Solution

The fourth proportional to 191,306.64, 286,820.64 and 90,069.60 is: 135,038.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,306.64 : 286,820.64 = 90,069.60 : x
  2. Step 2: Convert to fraction form
    191,306.64/286,820.64 = 90,069.60/x
  3. Step 3: Cross multiply
    191,306.64x = 286,820.64 × 90,069.60
  4. Step 4: Simplify right side
    191,306.64x = 25,833,820,316.54
  5. Step 5: Solve for x
    x = 25,833,820,316.54/191,306.64
  6. Step 6: Final answer
    x = 135,038.81

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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.