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Finding the Fourth Proportional to 98,129, 135,418.02 and 53,417

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Solution

The fourth proportional to 98,129, 135,418.02 and 53,417 is: 73,715.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,129 : 135,418.02 = 53,417 : x
  2. Step 2: Convert to fraction form
    98,129/135,418.02 = 53,417/x
  3. Step 3: Cross multiply
    98,129x = 135,418.02 × 53,417
  4. Step 4: Simplify right side
    98,129x = 7,233,624,374.34
  5. Step 5: Solve for x
    x = 7,233,624,374.34/98,129
  6. Step 6: Final answer
    x = 73,715.46

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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.