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Finding the Fourth Proportional to 105,612.80, 158,246.40 and 77,619.20

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Solution

The fourth proportional to 105,612.80, 158,246.40 and 77,619.20 is: 116,301.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,612.80 : 158,246.40 = 77,619.20 : x
  2. Step 2: Convert to fraction form
    105,612.80/158,246.40 = 77,619.20/x
  3. Step 3: Cross multiply
    105,612.80x = 158,246.40 × 77,619.20
  4. Step 4: Simplify right side
    105,612.80x = 12,282,958,970.88
  5. Step 5: Solve for x
    x = 12,282,958,970.88/105,612.80
  6. Step 6: Final answer
    x = 116,301.80

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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.