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Finding the Fourth Proportional to 98,076, 135,344.88 and 53,364

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Solution

The fourth proportional to 98,076, 135,344.88 and 53,364 is: 73,642.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,076 : 135,344.88 = 53,364 : x
  2. Step 2: Convert to fraction form
    98,076/135,344.88 = 53,364/x
  3. Step 3: Cross multiply
    98,076x = 135,344.88 × 53,364
  4. Step 4: Simplify right side
    98,076x = 7,222,544,176.32
  5. Step 5: Solve for x
    x = 7,222,544,176.32/98,076
  6. Step 6: Final answer
    x = 73,642.32

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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.