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Finding the Fourth Proportional to 357,004.13, 535,509.68 and 90,764.64

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Solution

The fourth proportional to 357,004.13, 535,509.68 and 90,764.64 is: 136,147.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,004.13 : 535,509.68 = 90,764.64 : x
  2. Step 2: Convert to fraction form
    357,004.13/535,509.68 = 90,764.64/x
  3. Step 3: Cross multiply
    357,004.13x = 535,509.68 × 90,764.64
  4. Step 4: Simplify right side
    357,004.13x = 48,605,342,867.89
  5. Step 5: Solve for x
    x = 48,605,342,867.89/357,004.13
  6. Step 6: Final answer
    x = 136,147.85

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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.