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Finding the Fourth Proportional to 137,133.61, 189,261.92 and 76,707.61

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Solution

The fourth proportional to 137,133.61, 189,261.92 and 76,707.61 is: 105,866.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,133.61 : 189,261.92 = 76,707.61 : x
  2. Step 2: Convert to fraction form
    137,133.61/189,261.92 = 76,707.61/x
  3. Step 3: Cross multiply
    137,133.61x = 189,261.92 × 76,707.61
  4. Step 4: Simplify right side
    137,133.61x = 14,517,829,547.21
  5. Step 5: Solve for x
    x = 14,517,829,547.21/137,133.61
  6. Step 6: Final answer
    x = 105,866.31

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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.