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Finding the Fourth Proportional to 85,411.20, 128,116.80 and 77,116.80

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Solution

The fourth proportional to 85,411.20, 128,116.80 and 77,116.80 is: 115,675.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,411.20 : 128,116.80 = 77,116.80 : x
  2. Step 2: Convert to fraction form
    85,411.20/128,116.80 = 77,116.80/x
  3. Step 3: Cross multiply
    85,411.20x = 128,116.80 × 77,116.80
  4. Step 4: Simplify right side
    85,411.20x = 9,879,957,642.24
  5. Step 5: Solve for x
    x = 9,879,957,642.24/85,411.20
  6. Step 6: Final answer
    x = 115,675.20

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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.