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Finding the Fourth Proportional to 357,129.44, 535,678.80 and 107,804

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Solution

The fourth proportional to 357,129.44, 535,678.80 and 107,804 is: 161,701.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,129.44 : 535,678.80 = 107,804 : x
  2. Step 2: Convert to fraction form
    357,129.44/535,678.80 = 107,804/x
  3. Step 3: Cross multiply
    357,129.44x = 535,678.80 × 107,804
  4. Step 4: Simplify right side
    357,129.44x = 57,748,317,355.20
  5. Step 5: Solve for x
    x = 57,748,317,355.20/357,129.44
  6. Step 6: Final answer
    x = 161,701.36

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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.