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Finding the Fourth Proportional to 128,612.16, 177,575.76 and 83,312.64

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Solution

The fourth proportional to 128,612.16, 177,575.76 and 83,312.64 is: 115,030.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,612.16 : 177,575.76 = 83,312.64 : x
  2. Step 2: Convert to fraction form
    128,612.16/177,575.76 = 83,312.64/x
  3. Step 3: Cross multiply
    128,612.16x = 177,575.76 × 83,312.64
  4. Step 4: Simplify right side
    128,612.16x = 14,794,305,365.61
  5. Step 5: Solve for x
    x = 14,794,305,365.61/128,612.16
  6. Step 6: Final answer
    x = 115,030.38

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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.