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Finding the Fourth Proportional to 357,004.09, 535,497.32 and 87,134.16

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Solution

The fourth proportional to 357,004.09, 535,497.32 and 87,134.16 is: 130,699.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,004.09 : 535,497.32 = 87,134.16 : x
  2. Step 2: Convert to fraction form
    357,004.09/535,497.32 = 87,134.16/x
  3. Step 3: Cross multiply
    357,004.09x = 535,497.32 × 87,134.16
  4. Step 4: Simplify right side
    357,004.09x = 46,660,109,160.45
  5. Step 5: Solve for x
    x = 46,660,109,160.45/357,004.09
  6. Step 6: Final answer
    x = 130,699.09

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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.