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Finding the Fourth Proportional to 230,533, 345,666.66 and 90,215.08

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Solution

The fourth proportional to 230,533, 345,666.66 and 90,215.08 is: 135,270.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,533 : 345,666.66 = 90,215.08 : x
  2. Step 2: Convert to fraction form
    230,533/345,666.66 = 90,215.08/x
  3. Step 3: Cross multiply
    230,533x = 345,666.66 × 90,215.08
  4. Step 4: Simplify right side
    230,533x = 31,184,345,385.23
  5. Step 5: Solve for x
    x = 31,184,345,385.23/230,533
  6. Step 6: Final answer
    x = 135,270.64

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1.5x scale

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.