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Finding the Fourth Proportional to 119,127.96, 178,308 and 65,736

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Solution

The fourth proportional to 119,127.96, 178,308 and 65,736 is: 98,392.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,127.96 : 178,308 = 65,736 : x
  2. Step 2: Convert to fraction form
    119,127.96/178,308 = 65,736/x
  3. Step 3: Cross multiply
    119,127.96x = 178,308 × 65,736
  4. Step 4: Simplify right side
    119,127.96x = 11,721,254,688
  5. Step 5: Solve for x
    x = 11,721,254,688/119,127.96
  6. Step 6: Final answer
    x = 98,392.14

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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.