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Finding the Fourth Proportional to 137,130.61, 189,257.77 and 76,704.61

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Solution

The fourth proportional to 137,130.61, 189,257.77 and 76,704.61 is: 105,862.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,130.61 : 189,257.77 = 76,704.61 : x
  2. Step 2: Convert to fraction form
    137,130.61/189,257.77 = 76,704.61/x
  3. Step 3: Cross multiply
    137,130.61x = 189,257.77 × 76,704.61
  4. Step 4: Simplify right side
    137,130.61x = 14,516,943,437.32
  5. Step 5: Solve for x
    x = 14,516,943,437.32/137,130.61
  6. Step 6: Final answer
    x = 105,862.17

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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.