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Finding the Fourth Proportional to 128,421.84, 177,162.24 and 83,114.40

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Solution

The fourth proportional to 128,421.84, 177,162.24 and 83,114.40 is: 114,659.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,421.84 : 177,162.24 = 83,114.40 : x
  2. Step 2: Convert to fraction form
    128,421.84/177,162.24 = 83,114.40/x
  3. Step 3: Cross multiply
    128,421.84x = 177,162.24 × 83,114.40
  4. Step 4: Simplify right side
    128,421.84x = 14,724,733,280.26
  5. Step 5: Solve for x
    x = 14,724,733,280.26/128,421.84
  6. Step 6: Final answer
    x = 114,659.11

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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.