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Finding the Fourth Proportional to 134,127, 185,100.12 and 76,776.84

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Solution

The fourth proportional to 134,127, 185,100.12 and 76,776.84 is: 105,954.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,127 : 185,100.12 = 76,776.84 : x
  2. Step 2: Convert to fraction form
    134,127/185,100.12 = 76,776.84/x
  3. Step 3: Cross multiply
    134,127x = 185,100.12 × 76,776.84
  4. Step 4: Simplify right side
    134,127x = 14,211,402,297.22
  5. Step 5: Solve for x
    x = 14,211,402,297.22/134,127
  6. Step 6: Final answer
    x = 105,954.82

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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.