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Finding the Fourth Proportional to 77,312.80, 115,969.20 and 61,760.80

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Solution

The fourth proportional to 77,312.80, 115,969.20 and 61,760.80 is: 92,641.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,312.80 : 115,969.20 = 61,760.80 : x
  2. Step 2: Convert to fraction form
    77,312.80/115,969.20 = 61,760.80/x
  3. Step 3: Cross multiply
    77,312.80x = 115,969.20 × 61,760.80
  4. Step 4: Simplify right side
    77,312.80x = 7,162,350,567.36
  5. Step 5: Solve for x
    x = 7,162,350,567.36/77,312.80
  6. Step 6: Final answer
    x = 92,641.20

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1.5x scale

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.