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Finding the Fourth Proportional to 147,425.04, 203,438.88 and 83,754

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Solution

The fourth proportional to 147,425.04, 203,438.88 and 83,754 is: 115,576.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,425.04 : 203,438.88 = 83,754 : x
  2. Step 2: Convert to fraction form
    147,425.04/203,438.88 = 83,754/x
  3. Step 3: Cross multiply
    147,425.04x = 203,438.88 × 83,754
  4. Step 4: Simplify right side
    147,425.04x = 17,038,819,955.52
  5. Step 5: Solve for x
    x = 17,038,819,955.52/147,425.04
  6. Step 6: Final answer
    x = 115,576.16

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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.