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Finding the Fourth Proportional to 134,701.84, 185,929.32 and 78,127.12

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Solution

The fourth proportional to 134,701.84, 185,929.32 and 78,127.12 is: 107,839.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,701.84 : 185,929.32 = 78,127.12 : x
  2. Step 2: Convert to fraction form
    134,701.84/185,929.32 = 78,127.12/x
  3. Step 3: Cross multiply
    134,701.84x = 185,929.32 × 78,127.12
  4. Step 4: Simplify right side
    134,701.84x = 14,526,122,295.16
  5. Step 5: Solve for x
    x = 14,526,122,295.16/134,701.84
  6. Step 6: Final answer
    x = 107,839.08

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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.