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Finding the Fourth Proportional to 137,291.61, 189,406.12 and 83,533.53

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Solution

The fourth proportional to 137,291.61, 189,406.12 and 83,533.53 is: 115,242.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,291.61 : 189,406.12 = 83,533.53 : x
  2. Step 2: Convert to fraction form
    137,291.61/189,406.12 = 83,533.53/x
  3. Step 3: Cross multiply
    137,291.61x = 189,406.12 × 83,533.53
  4. Step 4: Simplify right side
    137,291.61x = 15,821,761,807.20
  5. Step 5: Solve for x
    x = 15,821,761,807.20/137,291.61
  6. Step 6: Final answer
    x = 115,242.02

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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.