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Finding the Fourth Proportional to 137,602.76, 189,899.48 and 103,550

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Solution

The fourth proportional to 137,602.76, 189,899.48 and 103,550 is: 142,904.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,602.76 : 189,899.48 = 103,550 : x
  2. Step 2: Convert to fraction form
    137,602.76/189,899.48 = 103,550/x
  3. Step 3: Cross multiply
    137,602.76x = 189,899.48 × 103,550
  4. Step 4: Simplify right side
    137,602.76x = 19,664,091,154
  5. Step 5: Solve for x
    x = 19,664,091,154/137,602.76
  6. Step 6: Final answer
    x = 142,904.77

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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.