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Finding the Fourth Proportional to 134,130.28, 185,103.78 and 74,513

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Solution

The fourth proportional to 134,130.28, 185,103.78 and 74,513 is: 102,830.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,130.28 : 185,103.78 = 74,513 : x
  2. Step 2: Convert to fraction form
    134,130.28/185,103.78 = 74,513/x
  3. Step 3: Cross multiply
    134,130.28x = 185,103.78 × 74,513
  4. Step 4: Simplify right side
    134,130.28x = 13,792,637,959.14
  5. Step 5: Solve for x
    x = 13,792,637,959.14/134,130.28
  6. Step 6: Final answer
    x = 102,830.16

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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.