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Finding the Fourth Proportional to 77,409.95, 116,013.41 and 56,133.95

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Solution

The fourth proportional to 77,409.95, 116,013.41 and 56,133.95 is: 84,127.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,409.95 : 116,013.41 = 56,133.95 : x
  2. Step 2: Convert to fraction form
    77,409.95/116,013.41 = 56,133.95/x
  3. Step 3: Cross multiply
    77,409.95x = 116,013.41 × 56,133.95
  4. Step 4: Simplify right side
    77,409.95x = 6,512,290,675.60
  5. Step 5: Solve for x
    x = 6,512,290,675.60/77,409.95
  6. Step 6: Final answer
    x = 84,127.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.