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Finding the Fourth Proportional to 150,513.40, 207,717.81 and 83,445.40

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Solution

The fourth proportional to 150,513.40, 207,717.81 and 83,445.40 is: 115,159.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,513.40 : 207,717.81 = 83,445.40 : x
  2. Step 2: Convert to fraction form
    150,513.40/207,717.81 = 83,445.40/x
  3. Step 3: Cross multiply
    150,513.40x = 207,717.81 × 83,445.40
  4. Step 4: Simplify right side
    150,513.40x = 17,333,095,742.57
  5. Step 5: Solve for x
    x = 17,333,095,742.57/150,513.40
  6. Step 6: Final answer
    x = 115,159.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.