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Finding the Fourth Proportional to 128,698.16, 193,102.20 and 66,412.40

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Solution

The fourth proportional to 128,698.16, 193,102.20 and 66,412.40 is: 99,646.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,698.16 : 193,102.20 = 66,412.40 : x
  2. Step 2: Convert to fraction form
    128,698.16/193,102.20 = 66,412.40/x
  3. Step 3: Cross multiply
    128,698.16x = 193,102.20 × 66,412.40
  4. Step 4: Simplify right side
    128,698.16x = 12,824,380,547.28
  5. Step 5: Solve for x
    x = 12,824,380,547.28/128,698.16
  6. Step 6: Final answer
    x = 99,646.96

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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.