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Finding the Fourth Proportional to 128,814.16, 177,767.04 and 72,224.32

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Solution

The fourth proportional to 128,814.16, 177,767.04 and 72,224.32 is: 99,671.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,814.16 : 177,767.04 = 72,224.32 : x
  2. Step 2: Convert to fraction form
    128,814.16/177,767.04 = 72,224.32/x
  3. Step 3: Cross multiply
    128,814.16x = 177,767.04 × 72,224.32
  4. Step 4: Simplify right side
    128,814.16x = 12,839,103,582.41
  5. Step 5: Solve for x
    x = 12,839,103,582.41/128,814.16
  6. Step 6: Final answer
    x = 99,671.52

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1.5x scale

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.