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Finding the Fourth Proportional to 98,128, 135,416.64 and 53,416

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Solution

The fourth proportional to 98,128, 135,416.64 and 53,416 is: 73,714.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,128 : 135,416.64 = 53,416 : x
  2. Step 2: Convert to fraction form
    98,128/135,416.64 = 53,416/x
  3. Step 3: Cross multiply
    98,128x = 135,416.64 × 53,416
  4. Step 4: Simplify right side
    98,128x = 7,233,415,242.24
  5. Step 5: Solve for x
    x = 7,233,415,242.24/98,128
  6. Step 6: Final answer
    x = 73,714.08

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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.