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Finding the Fourth Proportional to 126,282, 189,431.37 and 42,038.76

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Solution

The fourth proportional to 126,282, 189,431.37 and 42,038.76 is: 63,060.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,282 : 189,431.37 = 42,038.76 : x
  2. Step 2: Convert to fraction form
    126,282/189,431.37 = 42,038.76/x
  3. Step 3: Cross multiply
    126,282x = 189,431.37 × 42,038.76
  4. Step 4: Simplify right side
    126,282x = 7,963,459,899.90
  5. Step 5: Solve for x
    x = 7,963,459,899.90/126,282
  6. Step 6: Final answer
    x = 63,060.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.