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Finding the Fourth Proportional to 137,328, 189,515.58 and 77,712

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Solution

The fourth proportional to 137,328, 189,515.58 and 77,712 is: 107,244.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,328 : 189,515.58 = 77,712 : x
  2. Step 2: Convert to fraction form
    137,328/189,515.58 = 77,712/x
  3. Step 3: Cross multiply
    137,328x = 189,515.58 × 77,712
  4. Step 4: Simplify right side
    137,328x = 14,727,634,752.96
  5. Step 5: Solve for x
    x = 14,727,634,752.96/137,328
  6. Step 6: Final answer
    x = 107,244.22

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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.